A. Find (a, b) and find x and y if ax + by = (a, b) 1. a = 35, 733, 2. a = 7,969, 3. a = 11, 178, B. Prove Lemma 1. Activity 7 (Euclidean Algorithm) b=2, 623 b = 1235 b = 234 LEMMA 1. Let a, b E 3. If a = bq + r, then (a, b) = (b, r).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A. Find (a, b) and find x and y if ax + by = (a, b)
1. a = 35, 733,
2.
a = 7,969,
3. a = 11, 178,
B. Prove Lemma 1.
Activity 7
(Euclidean Algorithm)
b=2, 623
b = 1235
b = 234
LEMMA 1. Let a, b E 3. If a = bq + r, then (a, b) = (b, r).
Transcribed Image Text:A. Find (a, b) and find x and y if ax + by = (a, b) 1. a = 35, 733, 2. a = 7,969, 3. a = 11, 178, B. Prove Lemma 1. Activity 7 (Euclidean Algorithm) b=2, 623 b = 1235 b = 234 LEMMA 1. Let a, b E 3. If a = bq + r, then (a, b) = (b, r).
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