2. Given: L: R² → R², L(x, y) = (x + 2y, 2x - y), ordered bases B = {(-1,2), (2,0)}, B' = {(1,-1), (1, 2)} a. Find the matrix representation of L wrt B. b. Find the change of basis matrix: (i.) from B' to B; (ii.) from B to B' c. Determine the matrix rep. of L wrt B' using the matrices in (a) and (b).

2. Given: L: R² → R², L(x, y) = (x + 2y, 2x - y), ordered bases B = {(-1,2), (2,0)}, B' = {(1,-1), (1, 2)} a. Find the matrix representation of L wrt B. b. Find the change of basis matrix: (i.) from B' to B; (ii.) from B to B' c. Determine the matrix rep. of L wrt B' using the matrices in (a) and (b).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 18CM

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