You can show that A = 0 First, find their common diagonalization D. -1 D = -20 -2 P = Now find a matrix Pl satisfying P-¹AP = B. and B = - [28 -25] 10 (Hint: you can use the invertible matrices diagonalizing Aland B.) are similar matrices using the fact that they have the same diagonalization.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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[³0
First, find their common diagonalization D.
0
D
You can show that A =
P =
3 -20
-2
and B =
Now find a matrix P satisfying P-¹AP = B.
1
are similar matrices using the fact that they have the same diagonalization.
28 -75
10 -27
(Hint: you can use the invertible matrices diagonalizing Aland B.)
Transcribed Image Text:[³0 First, find their common diagonalization D. 0 D You can show that A = P = 3 -20 -2 and B = Now find a matrix P satisfying P-¹AP = B. 1 are similar matrices using the fact that they have the same diagonalization. 28 -75 10 -27 (Hint: you can use the invertible matrices diagonalizing Aland B.)
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