4. (a) Show that the following matrix is diagonalizable. (b) Find a matrix P that diagonalizes A. (c) Compute A0 with the help of the matrices P, P-' and D where Đ = P-'Asnd check your result by computing Al0 directly. -2 A = 10 -1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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4. (a) Show that the following matrix is diagonalizable.
(b) Find a matrix P that diagonalizes A.
(c) Compute A10 with the help of the matrices P, P-1 and D where D = P-And check your result
by computing A10 directly.
-2
8.
A = 0
-1
Transcribed Image Text:4. (a) Show that the following matrix is diagonalizable. (b) Find a matrix P that diagonalizes A. (c) Compute A10 with the help of the matrices P, P-1 and D where D = P-And check your result by computing A10 directly. -2 8. A = 0 -1
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