1) let A be a 3x3 matrix. A = 0 1 01 1 a) Find the characteristic equation 1 O (b) Find the eigenvalues that correspond to matrix A. J Find the eigenspace that corresponds to each eigenvalve

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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Please do number1 and 2.

1) let A be a 3x3 matrix.
A =
a)
Find the characteristic equation
df
Find A3 if possible us
2) Do and again but w/
B=
b)
Find the eigenvalues that correspond to matrix A.
(
Find the eigenspace that corresponds to each eigenvalve
0
-2 -4
-21 2
4 2 5
1
01
11 6
2.
using
1
this Matrix:
A² = 58³5-1
Transcribed Image Text:1) let A be a 3x3 matrix. A = a) Find the characteristic equation df Find A3 if possible us 2) Do and again but w/ B= b) Find the eigenvalues that correspond to matrix A. ( Find the eigenspace that corresponds to each eigenvalve 0 -2 -4 -21 2 4 2 5 1 01 11 6 2. using 1 this Matrix: A² = 58³5-1
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