2. Let -1 2 0 1 A = Answer the following. (a) lem, this time set up the characteristic polynomial and solve it (I’m giving you easy numbers so you can demonstrate the process). Find the eigenvalues and eigenvectors of A, but unlike in the previous prob- (b) Find a diagonal matrix D and an invertible matrix P so that D = P 'AP. (c) Use the above parts to compute A".
2. Let -1 2 0 1 A = Answer the following. (a) lem, this time set up the characteristic polynomial and solve it (I’m giving you easy numbers so you can demonstrate the process). Find the eigenvalues and eigenvectors of A, but unlike in the previous prob- (b) Find a diagonal matrix D and an invertible matrix P so that D = P 'AP. (c) Use the above parts to compute A".
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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Transcribed Image Text:2. Let
-1 2
0 1
A =
Answer the following.
(a)
lem, this time set up the characteristic polynomial and solve it (I’m giving you easy
numbers so you can demonstrate the process).
Find the eigenvalues and eigenvectors of A, but unlike in the previous prob-
(b)
Find a diagonal matrix D and an invertible matrix P so that D = P 'AP.
(c)
Use the above parts to compute A".
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