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Find the characteristic polynomial of the matrix A. 9 5 5 9. a. 56+ 18A-X2 b. 2 - 18A+25 c. 2 + 18A -56 d. 2- 18A +56

Find the characteristic polynomial of the matrix A. 9 5 5 9. a. 56+ 18A-X2 b. 2 - 18A+25 c. 2 + 18A -56 d. 2- 18A +56

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section: Chapter Questions
Problem 7RQ
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Find the characteristic polynomial of the matrix A. 9 5 59 a. 56+18A-X² b. 2 - 18A+25 C. A2 + 18A-56 d. 2 - 18A +56
Transcribed Image Text:Find the characteristic polynomial of the matrix A. 9 5 59 a. 56+18A-X² b. 2 - 18A+25 C. A2 + 18A-56 d. 2 - 18A +56
Is X= - 2 an eigenvalue of A? If so, find one corresponding eigenvector. -1 0 -2 25 -4 0 2 -2 a. v=(2,–1,1) b. v=(2,1,–1) v = (2,0,1) 'd. A= - 1 is not aneigen vlalue of A С.
Transcribed Image Text:Is X= - 2 an eigenvalue of A? If so, find one corresponding eigenvector. -1 0 -2 25 -4 0 2 -2 a. v=(2,–1,1) b. v=(2,1,–1) v = (2,0,1) 'd. A= - 1 is not aneigen vlalue of A С.
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