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.
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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