Let B= {b1, b2} and c= {cl, c2} be bases for a vector space V, and suppose b1 = - cl + 4c2 and b2 = 5c1 - 3c2. a. Find the change-of-coordinates matrix from Bto c. b. Find [x]for x = 5b1 + 3b2.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.3: Subspaces Of Vector Spaces
Problem 52E
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Let B= {b1, b2} and c= {cl, c2} be bases for a vector space V, and suppose b1 = - cl + 4c2 and b2 = 5c1 - 3c2.
a. Find the change-of-coordinates matrix from Bto c.
b. Find [x]for x = 5b1 + 3b2.
Transcribed Image Text:Let B= {b1, b2} and c= {cl, c2} be bases for a vector space V, and suppose b1 = - cl + 4c2 and b2 = 5c1 - 3c2. a. Find the change-of-coordinates matrix from Bto c. b. Find [x]for x = 5b1 + 3b2.
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