3. Let T€ £ (M2,2(C)), and suppose that the matrix of T with respect to the standard ordered basis B = = {6 9 6 9 6 9 6 9} is /2 1 3 0 00-40 A = 01 0 1 € M4,4(C). 100 0 2 Determine the eigenvalues of T, and obtain an eigenmatrix in M2,2(C) that corresponds to each eigenvalue of T.

3. Let T€ £ (M2,2(C)), and suppose that the matrix of T with respect to the standard ordered basis B = = {6 9 6 9 6 9 6 9} is /2 1 3 0 00-40 A = 01 0 1 € M4,4(C). 100 0 2 Determine the eigenvalues of T, and obtain an eigenmatrix in M2,2(C) that corresponds to each eigenvalue of T.

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 55E

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Question

No Chatgpt please

3. Let T€ £ (M2,2(C)), and suppose that the matrix of T with respect to the
standard ordered basis B =
= {6 9 6 9 6 9 6 9} is
/2 1 3 0
00-40
A =
01 0 1
€ M4,4(C).
100 0 2
Determine the eigenvalues of T, and obtain an eigenmatrix in M2,2(C)
that corresponds to each eigenvalue of T.

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