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Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatest common divisor of a and b as in Bézout's Lemma, gcd(a, b) =as + bt, noting the + between the terms with a, b, s, te Z Use the Euclidean Algorithm with back-substitution to find the gcd (a, b) and then write gcd(a, b) = as+bt, noting the between the terms with a, b, s, t € Z. 1. a 36, b= 15. The answer is 3 = 36 (-2) +15 (5), now show the work. 2. a = 567, b= 1234. The answer is 1 = 567 (37) +1234(-17), now show the work. I

Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatest common divisor of a and b as in Bézout's Lemma, gcd(a, b) =as + bt, noting the + between the terms with a, b, s, te Z Use the Euclidean Algorithm with back-substitution to find the gcd (a, b) and then write gcd(a, b) = as+bt, noting the between the terms with a, b, s, t € Z. 1. a 36, b= 15. The answer is 3 = 36 (-2) +15 (5), now show the work. 2. a = 567, b= 1234. The answer is 1 = 567 (37) +1234(-17), now show the work. I

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatest common divisor of a and b as in Bézout's Lemma, gcd(a, b) =as + bt, noting the + between the terms with a, b, s, te Z Use the Euclidean Algorithm with back-substitution to find the gcd (a, b) and then write ged(a, b) = as+bt, noting the between the terms with a, b, s, t € Z. 1. a 36, b= 15. The answer is 3 = 36 (-2) +15 (5), now show the work. 2. a = 567, b = 1234. The answer is 1= 567 (37) +1234(-17), now show the work. I
Transcribed Image Text:Learning Target N2 (Core): I can perform back-substitution in the Euclidean Algorithm to write the the greatest common divisor of a and b as in Bézout's Lemma, gcd(a, b) =as + bt, noting the + between the terms with a, b, s, te Z Use the Euclidean Algorithm with back-substitution to find the gcd (a, b) and then write ged(a, b) = as+bt, noting the between the terms with a, b, s, t € Z. 1. a 36, b= 15. The answer is 3 = 36 (-2) +15 (5), now show the work. 2. a = 567, b = 1234. The answer is 1= 567 (37) +1234(-17), now show the work. I
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