10 eigenvalues ofT. Prove that dim E(^1 , T) + ·+ dim E (Am ,T) < dim (range T)10) Define T E L(R²) by T(x, y) = (41x + 7y, -20x + 74y). Verify that the matrix of T69with respect to basis (1,4), (7,5) is ( ):46

Answered: Image /qna-images/answer/c7fa7ce9-6886-433f-8748-75308f281df8.jpg

Answered: 10) Define T E L(R²) by T(x, y) = (41x…

10) Define T E L(R²) by T(x, y) = (41x + 7y,-20x + 74y). Verify that the matrix of T with respect to basis (1,4), (7,5) is (0 46): 69,

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 77E

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Question

eigenvalues ofT. Prove that dim E(^1 , T) + ·+ dim E (Am ,T) < dim (range T)
10) Define T E L(R²) by T(x, y) = (41x + 7y, -20x + 74y). Verify that the matrix of T
69
with respect to basis (1,4), (7,5) is ( ):
46

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