Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Consider the following matrices A and B and
D)What is the algebraic and geometric multiplicities of the eigenvalues of A.
f) Find A10b by writing b as linear combination of eigenvectors of A.
G) Find a formula for Ak for all non-negative integers k.
H) Use (g) to find A10b and compare it with what you found in (VI).
I) Is A similar to B? If yes, find an invertible matrix such that P−1AP = B.
Transcribed Image Text:A =
-3 4
-2 3 0
1
-88
B = 0
0
1
-1 0
0
1
b=
3
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