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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....

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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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