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# How to find the multiplicative inverse of a complex number

### Complex - Complex Restposte

Complex Heute bestellen, versandkostenfrei Well, luckily for us, it turns out that finding the multiplicative inverse (reciprocal) of a complex number which is in polar form is even easier than in standard form. For a complex number z = a + bi and polar coordinates ( $latex r, \theta &s=1$ ), r > 0

The multiplicitive inverse of any complex number a + b i is 1 a + b i. However, since i is a radical and in the denominator of a fraction, many teachers will ask you to rationalize the denominator. To rationalize the denominator just multiply by the complex conjugate of the original complex number (which is now in the denominator) The multiplicative inverse of a number, x, is the number, y, such that xy =1. For real numbers, this is given by the reciprocal of the number: y = 1 x y = 1 x How to find Multiplicative Inverse of a Complex Number... This video lecture covers the following topics:1. What isMultiplicative Inverse of a Complex Number?2 Continue Reading. The multiplicative inverse of a complex number z = x + i y where x, y are real is the number c = a + i b such that. z û c = c û z = 1. ã a x ã b y = 1 and a y + b x = 0. ã a x + a y x y = 1. ã a = x x 2 + y 2 and b = ã y x 2 + y 2 Active 1 year, 6 months ago Viewed 2k times 5 Find the multiplicative inverse of 1 + 3 2 in the ring Q (2) and use it to solve the equation (1 + 3 2) x = 1 ã 5 2

### The Multiplicative Inverse (Reciprocal) Of A Complex Numbe

Click hereÚ §ÚÝto get an answer to your question ÿ¡ Find the multiplicative inverse of the complex numbers given the following: ã(5) + 3i Join / Login > 11t The multiplicative inverse is also called as reciprocal. The multiplicative inverse of 'a' is denoted by a -1 or 1/a. In other words, the multiplicative inverse of a number is defined as 1 divided by the number. Want to find complex math solutions within seconds

There are two tricks to find the multiplicative inverse of complex number. First method is faster using the formula and the second method is manual calculati.. In order to find out the multiplicative inverse of a complex number, rationalize the reciprocal by multiplying both the numerator and denominator by its complex conjugate, which is another complex..

### Multiplicitive inverse of complex numbers

In this video I have explained how to find Multiplicative inverse of any complex numbers, Multiplicative of inverse is also called reciprocal of number, We. The multiplicative inverse of a complex number exists such that zãz^-1 = 1. To find the inverse, let z = a+ib and z^-1 = c+id. Now, when we multiply z and z^... To find the inverse, let z = a+ib. Click hereÚ §ÚÝto get an answer to your question ÿ¡ Find the multiplicative inverse of the following complex numbers: 4 - 3 5. Express of the complex number in the form a + i b .  (1/5+i2/5)- (4+i5/2)... https://youtu.be/Eu_WM4DYLFU. Get Classwise & Chapterwise Definitions & Solutions from NCERT Book: ãÂ NCERT.

### How do you find the multiplicative inverse of a complex

• Click here Ú §ÚÝ to get an answer to your question ÿ¡ How to find multiplicative inverse of complex number? ramcharanpoola2523 ramcharanpoola2523 27.01.202
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• Find the multiplicative inverse of the complex number 1+i. - 38975682 harshir04 harshir04 4 weeks ago Math Secondary School answered Find the multiplicative inverse of the complex number 1+i. 1 See answer harshir04 is waiting for your help. Add your answer and earn points..
• In fact, let's see just what the multiplicative inverse for a complex number is. Let's start out with the complex number z = a+bi z = a + b i and let's call its multiplicative inverse zã1 = u +vi z ã 1 = u + v i. Now, we know that we must have zzã1 = 1 z z ã 1 =
• Finding the multiplicative inverse of natural numbers is easy, but it is difficult for complex and real numbers. For example, the multiplicative inverse of 3 is 1/3, of 47 is 1/47, of 13 is 1/13, of 8 is 1/8, etc, whereas the reciprocal of 0 will give an infinite value or 1/0 = ã
• Get an answer for 'The multiplicative inverse of a complex number is -2x + 3i, find the complex number and its additive inverse. show complete solution and explain the answer.' and find homework.

### How to find Multiplicative Inverse of a Complex Number

• inverse of a complex number Quick Reference If z is a non-zero complex number and z = x + yi , the (multiplicative) inverse of z , denoted by z ã1 or 1/ z , is When z is written in polar form, so that z = re iö¡ = r (cos ö¡ + i sin ö¡ ), where r ã  0, the inverse of z is (1/r) e ã iö¡ =(1/ r )(cos ö¡ã i sin ö¡)
• Find the multiplicative inverse of the complex number . 325 . 13.6k+ 271.4k+ 1:04 . Find the multiplicative inverse (reciprocal) 0f each of the following rational numbers: (ii) 1533560 . 13.9k+ 278.7k+ 1:05 . Find the multiplicative inverse of . 1447378 . 6.4k+ 127.7k+ 1:43 . Find the multiplicative inverse of the complex number: 1447406 . 3.1k+ 62.4k+ 2:00 . Find the product and quotient of.
• Find the multiplicative inverse of complex number : 4 - 3i - 24760762 NarendraChaudhari NarendraChaudhari 05.10.2020 Math Secondary School answered Find the multiplicative inverse of complex number : 4 - 3i 2 See answers Brainly User Brainly User 4 + 3i..... I'm not sure ..
• Find the product and quotient of the complex numbers .Find multiplicative inverse of the following
• Given two integers 'a' and 'm', find modular multiplicative inverse of 'a' under modulo 'm'. The modular multiplicative inverse is an integer 'x' such that. a x ã 1 (mod m) The value of x should be in { 1, 2, m-1}, i.e., in the range of integer modulo m

### How to find multiplicative inverse of complex numbers - Quor

1. Example 5 - Chapter 5 Class 11 Complex Numbers. Last updated at May 29, 2018 by Teachoo. Next: Example 6 ã Chapter 5 Class 11 Complex Numbers; Serial order wise; Examples. Example 1 Example 2 Example 3 Example 4 Example 5 You are here. Example 6 Example 7 Example 8 Example 9 Example 10 Example 11 Example 12 Example 13 Example 14 Important . Example 15 Example 16 Important . Miscellaneous.
3. Tom St Denis, Greg Rose, in BigNum Math, 2006. 9.4 Modular Inverse. The modular inverse of a number refers to the modular multiplicative inverse.For any integer a such that (a, p) = 1 there exists another integer b such that abãÀ 1 (mod p).The integer b is called the multiplicative inverse of a which is denoted as b = a ã1.Modular inversion is a well-defined operation for any finite ring or.
4. In this tutorial you will learn how to find the additive inverse of a complex number. But before we dig into the additive inverse of complex numbers, let's quickly recap what exactly an additive inverse is. We will start with the real numbers. (Note, the additive inverse of a complex number is not the same as its multiplicative inverse. Check out our multiplicative inverse tutorial for.
6. How to find the multiplicative inverse of complex number? Get the answers you need, now! rithish8902 rithish8902 15.03.2018 Math Secondary School answered How to find the multiplicative inverse of complex number? 1 See answer rithish8902 is waiting for your help. Add your answer and earn points. Aryansaurav Aryansaurav.

How do you find the multiplicative inverse of a complex number - 864232 ar9yaCshubbachetago ar9yaCshubbachetago 26.10.2016 Math Secondary School answered How do you find the multiplicative inverse of a complex number 1 See answer ar9yaCshubbachetago is waiting for your help. Add your answer and earn points. kushagra887 kushagra887. Find the multiplicative inverse of the complex number. 4 - 3i Paiye sabhi sawalon ka Video solution sirf photo khinch ka

### Multiplicative inverse of a complex number

The multiplicative inverse of a number is nothing but reciprocal of the number. For example, x is a number then 1/x is the multiplicative inverse. All you need to do is just multiply the given number with a multiplicative inverse number and that should equal to 1. So, if we did x * 1/x then x will be canceled and the output is equal to 1 Find the multiplicative inverse of the complex number 1+i. - 38975682 harshir04 harshir04 4 weeks ago Math Secondary School answered Find the multiplicative inverse of the complex number 1+i. 1 See answer harshir04 is waiting for your help. Add your answer and earn points.. While finding the multiplicative inverse of a fractional complex number, one has to just reverse the fraction.. but while finding the m ultiplicative inverse of complex no. which is not fraction, one has to assume the M.I. as x + iy or A +ib and then wwe find the M. I The multiplicative inverse of any complex number x+yi is 1/(x+yi). In this multiplicative inverse, x and y are rational numbers and i is a radical. In this case, we must always remember to rationalise the multiplicative inverse. Our final answer should not contain any radicals in the denominator. Rationalisation: To rationalise multiply the numerator and denominator of 1/(x+yi) with (x-yi. Complex number is said to be the sum of whole numbers and imaginary numbers. The imaginary numbers can be denoted as in numbers in form of ''i'', where the value of I is sqrt(-1) . In this article, we see about the additive inverse of complex numbers. The additive inverse of the any number is the changing the sign of the number. That is instead -ve sign is positive and vice versa

### Find the multiplicative inverse of the complex numbers

• The multiplicative inverse of a number A is another number B which when multiplied by A gives 1. Here we have the number 3 + 2i. Let A = 3 + 2i, we need to find B such that A*B =
• Ex 5.1, 13 Find the multiplicative inverse of the Complex number - Ú çÚÝ Multiplicative inverse of z = z - 1 Multiplicative inverse of z = 1/Ú çÚÝÏ Putting z = - Ú çÚÝ multiplicative inverse of ãÚ çÚÝ = 1/(ãÚ çÚÝ) Multiplying and dividing by Ú çÚÝ = 1/(ãÚ çÚÝ) ûÚ çÚÝ/Ú çÚÝ = Ú çÚÝ/(ãÚ çÚÝ^2 ) Pu
• Find the multiplicative inverse of - i. i. 136 Views. Switch; Flag; Bookmark; i 9 + i 19 . i 9 + i 19 = i 8.i +i 18.i = (i 2) 4.i. (i 2) 9.i = (-1) 4 .i + (-1) 9 .i (use i 2 = -1) = i - i = 0. 513 Views. Answer . Express each of the complex number given in the Excercise 1 to 10 in the form a + ib. = ( use i = -1) 663 Views. Answer . Express each of the complex number given in the form of a.
• Find the multiplicative inverse of the following complex numbers: (i) 2 - 3i (ii) 4 - 3i (iii) ã5 + 3i asked Jan 30, 2020 in Mathematics by Sarita01 ( 53.4k points) complex numbers
• (3+4i)/(4-5i) To find the multiplicative inverse, all you need to do is flip the function so the product of the number and its inverse = 1. Then the inverse is
• Multiplicative Inverse of a Complex Number In this lesson, you'll learn about the multiplicative inverse of a complex number and how to find it. The process is explained with the help of relevant.
• Complex Numbers and Quadratic Equations Book Chosen. Mathematics Subject Chosen. Mathematics Book Store. Download books and chapters from book store. Currently only available for. CBSE Gujarat Board Haryana Board. Previous Year Papers. Download the PDF Question Papers Free for off line practice and view the Solutions online. Currently only available for. Class 10 Class 12. Complex Numbers and.

The multiplicative inverse of a complex number z is 1/z where z does not equal 0. Find the multiplicative inverse or reciprocal of the complex number 3- 13i. Then use complex conjugated to simplify. Check answers by multiplying by original numbers. The multiplicative inverse of 3- 13i. Type in the form a + bi Solution For Find the multiplicative inverse of the following complex numbers.{ \left( 1+i\sqrt { 3 } \right) }^{ 2 } DOWNLOAD APP MICRO CLASS PDFs CBSE QUESTION BANK BLOG BECOME A TUTOR HOME HOME BECOME A TUTOR BLOG CBSE QUESTION BANK PDFs MICRO CLASS DOWNLOAD AP Operations with one complex number This calculator extracts the square root , calculate the modulus , finds inverse , finds conjugate and transform complex number to polar form . The calculator will generate a step by step explanation for each operation

### Multiplicative Inverse Calculator - Online tool to find

• The multiplicative inverse of a modulo m exists if and only if a and m are coprime (i.e., if gcd(a, m) = 1). If the modular multiplicative inverse of a modulo m exists, the operation of division by a modulo m can be defined as multiplying by the inverse. Zero has no modular multiplicative inverse. The modular multiplicative inverse of a modulo m can be found with the Extended Euclidean.
• Ncert Solutions for Class 11 Maths Exercise 5.1 (Complex Numbers and Quadratic Equations) Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13
• Find the multiplicative inverse of the following complex number: ( 1 + i ã 3 ) 2 . CBSE CBSE (Science) Class 11. Textbook Solutions 11012. Important Solutions 9.
• Solution for The multiplicative inverse of is a complex number such that Find the multiplicative inverse of each complex number. solve for A. Z=1+i B. Z=3-

### Trick to Find Multiplicative Inverse of Complex Number

Example #2 - Finding the Argument of a Complex Number. Let's find the argument of the complex number -3 + 4i pictured below. Remember this can be denoted as arg(-4 + 3i). Finding the angle formed with the x-axis of this complex number, which this time would be a clockwise angle is relatively easy. Just take the arctangent of 4/3 again. You'd. Ex5.1, 12 Find the multiplicative inverse of the Complex number ã5 + 3Ú çÚÝ Multiplicative inverse of z = z - 1 Multiplicative inverse of z = 1/Ú çÚÝÏ Putting z = ã5 + 3Ú çÚÝ multiplicative inverse of ã5 + 3Ú çÚÝ = 1/(ã5 + 3 Ú çÚÝ) Rationalizing = 1/(ã5 + 3Ú çÚÝ) û(ã5 ã 3Ú çÚÝ)/(ã5 ã 3Ú çÚÝ

Modular Multiplicative Inverse: Consider two integers n and m. MMI(Modular Multiplicative Inverse) is an integer(x), which satisfies the condition (n*x)%m=1. x lies in the domain {0,1,2,3,4,5,..,m-1}. naive: Modular multiplicative inverse in Python. This is the easiest way to get the desired output. Let's understand this approach using a code Answer to The multiplicative inverse of z is a complex number zm such that z ôñ zm = 1. Find the multiplicative inverse of each... Modulus and Conjugate of a complex number Observe that the multiplicative inverse of the non-zero complex number z is given by Furthermore, the following results can easily be derived. For any two compex numbers z1 and z2, we have Example Find the multiplicative inverse of 2 [ Finding the modular inverse. The modular inverse of an integer e modulo n is defined as the value of d such that ed = 1 mod n. We write d = (1/e) mod n or d = e-1 mod n. The inverse exists if and only if gcd(n,e)=1. To find this value for large numbers on a computer, we use the extended Euclidean algorithm, but there are simpler methods for.

Find the additive and multiplicative inverse of following numbers: (i) 1 + 2i asked Apr 29, 2020 in Complex Numbers by Ruksar03 ( 47.6k points) complex numbers Simple idea that multiplying by a number's multiplicative inverse gets you back to one. 5 û 1/5 = 1 . Simple idea that multiplying by a number's multiplicative inverse gets you back to one. 5 û 1/5 = 1. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and. The multiplicative inverse of a number is that number as the denominator and 1 as the numerator. When we multiply 15 and 1/15, we get 1. When we multiply 15 and 1/15, we get 1. Example 2

### Multiplicative Inverse of a Complex Number - Video

1. Multiplicative Inverse Property Calculato
2. Ex5.1, 11 Find the multiplicative inverse of the Complex number 4 - 3Ú çÚÝ Multiplicative inverse of z = z - 1 Multiplicative inverse of z = 1/Ú çÚÝÏ Putting z = 4 - 3i multiplicative inverse of 4 - 3i = 1/(4 ã3 Ú çÚÝ) Rationalizing = 1/(4 ã3Ú çÚÝ) û(4 + 3Ú çÚÝ)/(4 + 3Ú çÚÝ) = (4+3i)
3. The multiplicative inverse of 7 is 1/7. A number's multiplicative inverse is its reciprocal. To get the multiplicative inverse of a number, just put..
4. In number theory and encryption often the inverse is needed under a modular ring. Less formal spoken, how can one divide a number under a modular relation? Here the multiplicative inverse comes in. The multiplicative inverse of an integer $$a$$ modulo $$m$$ is an integer $$x$$ such that $a x\equiv 1 \pmod{m}$ Dividing both sides by $$a$$ gives $x\equiv a^{-1} \pmod{m}$ The solution can be.
5. Multiplicative Inverse of a Complex Number The multiplicative inverse of a complex number z is a complex number z m such that z ôñ z m = 1. Find the multiplicative inverse of each complex number. a z = 1 + i b z = 3 ã i c z = ã 2 + 8 i. Buy Find launch. College Algebra. 10th Edition. Ron Larson . Publisher: Cengage Learning. ISBN: 9781337282291. Buy Find launch. College Algebra. 10th. 1. Find the multiplicative inverse of the complex numbers given the following: $$\sqrt{5}+3i 2. Solution for . Multiplicative Inverse of a Complex NumberThe multiplicative inverse of a complex number z isa complex number zm such that z ã zm = 1. Find 3. Get an answer for 'Find the multiplicative inverse of the complex number 4 - 2i.' and find homework help for other Math questions at eNote Z = Multiplicative inverse of z = = Hope you found this question and answer to be good. Find many more questions on Complex Numbers and Quadratic Equations with answers for your assignments and practice Textbook solution for Precalculus (MindTap Course List) 10th Edition Ron Larson Chapter 2.PS Problem 8PS. We have step-by-step solutions for your textbooks written by Bartleby experts = 4 - 3iMultiplicative inverse of Hence, multiplicative inverse of ### The Multiplicative Inverse of a Complex Number - YouTub Multiplicative Inverse of Fraction Numbers. The reciprocal or multiplicative inverse for any given fraction number can be obtained by simply interchanging the numerator and the denominator values. Example: Find the reciprocal of (4/5) Solution: To find the multiplicative inverse we need to follow the following steps. The reciprocal of 4/5 is 5/4 Complex Number Calculator. The calculator will simplify any complex expression, with steps shown. It will perform addition, subtraction, multiplication, division, raising to power, and also will find the polar form, conjugate, modulus and inverse of the complex number. Enter an expression: If the calculator did not compute something or you have identified an error, or you have a suggestion. Find the modulus of the complex number$$\sqrt{2}i-\sqrt{-2}i$$. Asked in: Mathematics - Complex Numbers and Quadratic Equations 1 Verified Answer | Published on 16th 08, 202 Textbook solution for Trigonometry (MindTap Course List) 10th Edition Ron Larson Chapter 4 Problem 2PS. We have step-by-step solutions for your textbooks written by Bartleby experts Multiplicative inverse of Chapter Chosen. Complex Numbers and Quadratic Equations Book Chosen. Mathematics Subject Chosen. Mathematics Book Store. Download books and chapters from book store. Currently only available for. CBSE Gujarat Board Haryana Board. Previous Year Papers . Download the PDF Question Papers Free for off line practice and view the Solutions online.. existence of a multiplicative inverse Complex Numbers Complex Numbers Complex from MATH 1503 at University of New Brunswic Find the Multiplicative Inverse of the Complex Number 4 - 3i . CBSE CBSE (Commerce) Class 11. Textbook Solutions 7829. Important Solutions 14. Question Bank Solutions 6793. Concept Notes & Videos 297. Syllabus. Advertisement Remove all ads. Find the Multiplicative Inverse of the Complex Number 4 - 3i - Mathematics . Sum. Find the multiplicative inverse of the complex number 4 - 3i. ### Find the multiplicative inverse of the following complex 1. g. 2. Find the multiplicative inverse of the complex numbers given the following:$$4-3i\$
3. find the multiplicative inverse of Z = 2 -3i. z = 2 - 3i Here, a = 2, b = -3 Multiplicative inverse. 361 Views. Flag ; Note; Bookmark; Complex Numbers and Quadratic Equations. Hope you found this question and answer to be good. Find many more questions on Complex Numbers and Quadratic Equations with answers for your assignments and practice. Explore. Zig In. Mathematics. Browse through more.
4. Find the multiplicative inverse of each of the complex numbers given in the Exercises 11 to 13. 11. 4 - 3i . Solution: Let's consider z = 4 - 3i. Then, = 4 + 3i and |z| 2 = 4 2 + (-3) 2 = 16 + 9 = 25. Thus, the multiplicative inverse of 4 - 3i is given by z-1. 12. ã5 + 3i. Solution: Let's consider z = ã5 + 3i |z| 2 = (ã5) 2 + 3 2 = 5 + 9 = 14. Thus, the multiplicative inverse.
5. Can you help me find the multiplicative inverse?8-2i As the complex number (8-2i)is not (the additive identity comlex number)0 + 0i it must have multiplicative inverse in the field of complex numbers. The multiplicative inverse of (8-2i) is given by 1/(8-2i) And 1/(8-2i) = 1/(8-2i) X (8+2i)/(8+2i) (multiplying nr and dr by the complex conjugate (8+2i) of (8-2i) That is equal to (8+2i))/[(8-2i.

### Find the multiplicative inverse of the complex number `4

1. Overall Hint: Consider the given complex number as z , find the conjugate and square of the modulus of z then divide the modulus square with the conjugate to give the multiplicative inverse 12. Find the multiplicative inverse of the complex number ã5+3Ú çÚÝ
2. Find the multiplicative inverse of the complex numbers when it exists: (6+5i) whole square - Maths - Complex Numbers and Quadratic Equation
3. When asked to find the multiplicative inverse of a number, first remember that two numbers are multiplicative inverses if their product is 1. Think about what a number needs to be multiplied by in order for the product of the two numbers to equal 1. To find the multiplicative inverse of a the given number, find the reciprocal of that number. The resulting number is the multiplicative inverse.
4. Complex Numbers and Quadratic Equations. find the multiplicative inverse of (2+i root of 3) 2. Share with your friends. Share 2. Dear Student, T h e m.
5. Finding a number's opposites is actually pretty straightforward. The additive inverse. The first type of opposite is the one you might be most familiar with: positive numbers and negative numbers. For example, the opposite of 4 is -4, or negative four. On a number line, 4 and -4 are both the same distance from 0, but they're on opposite sides
6. The multiplicative inverse is also known as Reciprocal. Standard Formula. The standard form to represent the multiplicative inverse is as follows. If n is a number, then the multiplicative inverse or reciprocal of a number is 1/n. If a number is given in the fractional form a/b, then the multiplicative inverse is b/a The multiplicative inverse is what we multiply a number by to get 1. It is the reciprocal of a number. Example: The multiplicative inverse of 5 is 15, because 5 û 15 = 1. But Not With 0. We can't divide by 0, so don't try! Example: 5 û 0 = 0 cannot be reversed by 0/0 = ??? Inverse of a Function . Doing a function and then its inverse will give us back the original value: When the function f. Given three numbers a, b and c, we need to find (a b) % c Now why do % c after exponentiation, because a b will be really large even for relatively small values of a, b and that is a problem because the data type of the language that we try to code the problem, will most probably not let us store such a large number. Examples: Input : a = 2312 b = 3434 c = 6789 Output : 6343 Input : a.

Find the simplest form of $$\dfrac{1-i}{1+i}$$. Asked in: Mathematics - Complex Numbers and Quadratic Equations 1 Verified Answer | Published on 16th 08, 202 The multiplicative inverse of 3+5i is what you misgh expect it to be: However this is not the proper form. We want something in the standard form: a + bi where a and b are real numbers. To put Multiplying the numerator is simple. To multiply the denominator we can use FOIL or the pattern. I prefer using the pattern: which simplifies as follows. Complex Numbers and Quadratic Equations. Find the multiplicative inverse of.. Share with your friends. Share 0. L e t m u l t i p i c a t i v e o f.    Free and fast online Modular Multiplicative Inverse calculator that solves a, such that such that ax ãÀ 1 (mod m).Just type in the number and modulo, and click Calculate. This Modular Multiplicative Inverse calculator can handle big numbers, with any number of digits, as long as they are positive integers.. For a more comprehensive mathematical tool, see the Big Number Calculator How to find the reciprocal of a complex number? Let z = x + iy be a non-zero complex number. Then 1/z = 1/(x + iy) Multiplying numerator and denominator by conjugate of denominato The multiplicative inverse of a number b is the number c such that b times c is 1. In ordinary arithmetic, the multiplicative inverse of b is the reciprocal of b, namely 1/b. For example, let's say we are working with a modulus of 7. The multiplicative inverse of 3 is 5 because 3 times 5 is 1. (For the same reason, the multiplicative inverse of 5 is 3.) We can find multiplicative inverses by. In this article, we present two methods for finding the modular inverse in case it exists, and one method for finding the modular inverse for all numbers in linear time. Finding the Modular Inverse using Extended Euclidean algorith

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