Carry out Euclid's algorithm to find d = gcd(116, 22). In the notation of the lecture notes, bo= 116 and b₁ = 22. 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. b₂+ d= d= d= less than 29.) ·b₁+ bo -b3 b₂ + b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value

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 (116, 22). In the notation of the lecture notes, bo= 116 and b₁ = 22. 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.
·b₂+
d=
d=
d=
less than 29.)
b₁ +
·bo +
b3
b₂
.b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value
Transcribed Image Text:Carry out Euclid's algorithm to find d = gcd (116, 22). In the notation of the lecture notes, bo= 116 and b₁ = 22. 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. ·b₂+ d= d= d= less than 29.) b₁ + ·bo + b3 b₂ .b₁. (This line is the final output of the algorithm. The last number you entered should have absolute value
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