7, Let A = -2 2 -2 2 -1 4 -2 4 -1 (a). Find the eigenvalues and corresponding eigenvectors for A. (b). Find a matrix P that orthogonally diagonalizes A.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
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Question
7.
Let
A =
-2
-2 2
2 -1 4
-2 4
(a). Find the eigenvalues and corresponding eigenvectors for A.
(b). Find a matrix P that orthogonally diagonalizes A.
Transcribed Image Text:7. Let A = -2 -2 2 2 -1 4 -2 4 (a). Find the eigenvalues and corresponding eigenvectors for A. (b). Find a matrix P that orthogonally diagonalizes A.
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