In Exercises 1-14, find the characteristic polynomial and the eigenvalues for the given matrix. Also, give the al- gebraic multiplicity of each eigenvalue. [Note: In each case the eigenvalues are integers.] 1. 2. 3. -1 2 [ [34] [B] 3 5. 7. 9. 10 23 11. -6-1 2 3 20 -14 -2 5 3-1-1 -12 0 5 4 -2 -1 24 4 01-1 01 3 2 1 [33] 0 -1 4. 13-16 9-11 6. "[33] 8. 10. -2 -1 0 011 -2 -2 -1 -7 4-3 8-3 3 32-16 13 12. 6 4 4 1 4614 4164 1446

In Exercises 1-14, find the characteristic polynomial and the eigenvalues for the given matrix. Also, give the al- gebraic multiplicity of each eigenvalue. [Note: In each case the eigenvalues are integers.] 1. 2. 3. -1 2 [ [34] [B] 3 5. 7. 9. 10 23 11. -6-1 2 3 20 -14 -2 5 3-1-1 -12 0 5 4 -2 -1 24 4 01-1 01 3 2 1 [33] 0 -1 4. 13-16 9-11 6. "[33] 8. 10. -2 -1 0 011 -2 -2 -1 -7 4-3 8-3 3 32-16 13 12. 6 4 4 1 4614 4164 1446

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 23EQ: 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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