1. Let A = -7 0 -8 54 -3 0 9 5 (a) Compute the characteristic polynomial for A. (b) Determine all the eigenvalues of A. (c) State the multiplicity for each eigenvalue. (d) Use the previous work to classify A as invertible or singular. How do you know? skatte

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
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Linear Algebra #1
1.
Let A =
-7
0
-8
5 4
-3 0
9 5
(a) Compute the characteristic polynomial for A.
(b) Determine all the eigenvalues of A.
(c) State the multiplicity for each eigenvalue.
(d) Use the previous work to classify A as invertible or singular. How
do you know?
kadri
Transcribed Image Text:1. Let A = -7 0 -8 5 4 -3 0 9 5 (a) Compute the characteristic polynomial for A. (b) Determine all the eigenvalues of A. (c) State the multiplicity for each eigenvalue. (d) Use the previous work to classify A as invertible or singular. How do you know? kadri
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