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Given the matrix A= 6 use Cayley-Hamilton Theorem to show that: e^ : Given the matrix B= 5, use Cayley-Hamilton Theorem to show that: sin6 sin6" %3D

Given the matrix A= 6 use Cayley-Hamilton Theorem to show that: e^ : Given the matrix B= 5, use Cayley-Hamilton Theorem to show that: sin6 sin6" %3D

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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Question

(a) Given the matrix A= [
1 0
0 2
], use Cayley-Hamilton Theorem to show that:

e
A = [
e
1 0
0 e
2
] 

(b) Given the matrix B= [
1 2
1 2
], use Cayley-Hamilton Theorem to show that:

sin2B =sin6
3
[
1 2
1 2
] = (
sin6
3
)B

(a) Given the matrix A= 6 l, use Cayley-Hamilton Theorem to show that: [el e2. e4 (b) Given the matrix B= |; use Cayley-Hamilton Theorem to show that: sin6 [1 21 sin6 В 3 sin2B
Transcribed Image Text:(a) Given the matrix A= 6 l, use Cayley-Hamilton Theorem to show that: [el e2. e4 (b) Given the matrix B= |; use Cayley-Hamilton Theorem to show that: sin6 [1 21 sin6 В 3 sin2B
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