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Carry out Euclid's algorithm to find d = gcd(150, 27). In the notation of the lecture notes, bo = 150 and b₁ = 27. 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.

Carry out Euclid's algorithm to find d = gcd(150, 27). In the notation of the lecture notes, bo = 150 and b₁ = 27. 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.

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(150, 27). In the notation of the lecture notes, bo = 150 and b₁ = 27. 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= ·b₂+ .b3 .b₂ d= ·b₁+ d= ·bo+ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than 25.)
Transcribed Image Text:Carry out Euclid's algorithm to find d = gcd(150, 27). In the notation of the lecture notes, bo = 150 and b₁ = 27. 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= ·b₂+ .b3 .b₂ d= ·b₁+ d= ·bo+ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value less than 25.)
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