5. Let A = {a1, a2, a3} and B= {b¡,b2, b3} be bases for a vector space V, and suppose a = 4b1 – b2, a, = -bị + b2 + b3, and az = b2 – 2b3. %3D a. Find the change-of-coordinates matrix from A to B. b. Find [x ], for x = 3a1 + 4a2 + a3.
5. Let A = {a1, a2, a3} and B= {b¡,b2, b3} be bases for a vector space V, and suppose a = 4b1 – b2, a, = -bị + b2 + b3, and az = b2 – 2b3. %3D a. Find the change-of-coordinates matrix from A to B. b. Find [x ], for x = 3a1 + 4a2 + a3.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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