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the matrix -2 -3

the matrix -2 -3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the matrix -2 -3) (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of A with respect of the two different eigenvalues. (c) Show that v and w are linearly independent.
Transcribed Image Text:Consider the matrix -2 -3) (a) Find the eigenvalues of A. (b) Find two eigenvectors v and w of A with respect of the two different eigenvalues. (c) Show that v and w are linearly independent.
(d) Find the matrix P and P-1 such that P-'AP is diagonal. (e) Without using Matlab, compute A100z, where z =[-1,1].
Transcribed Image Text:(d) Find the matrix P and P-1 such that P-'AP is diagonal. (e) Without using Matlab, compute A100z, where z =[-1,1].
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