Let T: R3 R³ be given by [1 0 1 T(x) = 1 1 2 x 0 1 1 and (1, 2, 3) be the standard basis for R³. Let = Find a matrix A Є R³×³ so that B = (T(ē1), T(ē2), ē2) 23 [T(x)] = A[x]e.
Let T: R3 R³ be given by [1 0 1 T(x) = 1 1 2 x 0 1 1 and (1, 2, 3) be the standard basis for R³. Let = Find a matrix A Є R³×³ so that B = (T(ē1), T(ē2), ē2) 23 [T(x)] = A[x]e.
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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