Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A. 10 -8 - 4

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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Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A.
[:]
10 -8
6 - 4
...
Find A
- 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
О А. А
(Type an integer or simplified fraction for each matrix element.)
О В. А
- 1
does not exist.
A
(Type an integer or simplified fraction for each matrix element.)
%3D
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Use the Cayley-Hamilton theorem to find A1, A°, and A“ for the given matrix A. [:] 10 -8 6 - 4 ... Find A - 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. О А. А (Type an integer or simplified fraction for each matrix element.) О В. А - 1 does not exist. A (Type an integer or simplified fraction for each matrix element.) %3D (Type an integer or simplified fraction for each matrix element.)
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