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Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16 and b₁ = 10. Enter the first two remainders, b₂ and b3, produced by the algorithm. b₂ = b3 = Now carry out the extension to Euclid's algorithm. In the course of the algorithm, you will express d as an integer linear combination of each pair of successive remainders. Enter the integer coefficients that arise for the last three steps. d = • b3 d= d = 4.) ·b₂+ .b₁+ ·bo + .b₂ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than

Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16 and b₁ = 10. Enter the first two remainders, b₂ and b3, produced by the algorithm. b₂ = b3 = Now carry out the extension to Euclid's algorithm. In the course of the algorithm, you will express d as an integer linear combination of each pair of successive remainders. Enter the integer coefficients that arise for the last three steps. d = • b3 d= d = 4.) ·b₂+ .b₁+ ·bo + .b₂ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16 and b₁ = 10. Enter the first two remainders, b2 and b3, produced by the algorithm. b₂ = b3 = Now carry out the extension to Euclid's algorithm. In the course of the algorithm, you will express d as an integer linear combination of each pair of successive remainders. Enter the integer coefficients that arise for the last three steps. d= d= d= 4.) ·b₂ + ·b₁+ .bo+ b3 ·b2 .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than
Transcribed Image Text:Carry out Euclid's algorithm to find d = gcd(16, 10). In the notation of the lecture notes, bo = 16 and b₁ = 10. Enter the first two remainders, b2 and b3, produced by the algorithm. b₂ = b3 = Now carry out the extension to Euclid's algorithm. In the course of the algorithm, you will express d as an integer linear combination of each pair of successive remainders. Enter the integer coefficients that arise for the last three steps. d= d= d= 4.) ·b₂ + ·b₁+ .bo+ b3 ·b2 .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than
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