c) 9 5A 1 5 -4 -4A -4 -4 = 0 20 -201 1 -20 -3 402 25 40 O True O False d) If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A are 0.2, –0.25 and 0.05. True O False

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 25EQ: In Exercises 23-26, use the method of Example 4.5 to find all of the eigenvalues of the matrix A....
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Matrix algebra

c)
9
5A
1
5
-4
-4A
-4
-4
= 0
20
-201
1
-20
-3
402
25
40
O True
O False
d)
If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A-
are 0.2, –0.25 and 0.05.
True
O False
Transcribed Image Text:c) 9 5A 1 5 -4 -4A -4 -4 = 0 20 -201 1 -20 -3 402 25 40 O True O False d) If the eigenvalues of a 3 x 3 matrix A is 5, –4 and 20, then the eigenvalues of A- are 0.2, –0.25 and 0.05. True O False
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