A = -3 40 -2 30 -8 8 1 B = 1 0 1 0 -1 0 0 1 b = 0

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 following matrices A and B and vector b, attached in image.

(a) Find the characteristic polynomial of matrix A.
(b) Find eigenvalues of the matrix A.
(c) Find a basis for the eigenspaces of matrix A.
(d) What is the algebraic and geometric multiplicities of the eigenvalues of A.

A =
-3 4
-2 3 0
1
-88
B = 0
0
1
-1 0
0
1
b=
3
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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