Verify Cayley-Hamilton theorem for the matrix A = and find its inverse. Also express A - 4A" 2 3 - 7A' + 11A? - A - 101 as a linear polynomial in A

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 76E: Define T:P2P2 by T(a0+a1x+a2x2)=(2a0+a1a2)+(a1+2a2)xa2x2. Find the eigenvalues and the eigenvectors...
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[1 4
and find its inverse. Also express
2 3
A´ – 4A*
Verify Cayley-Hamilton theorem for the matrix A =
- 7A' + 11A? - A – 101 as a linear polynomial in A
Transcribed Image Text:[1 4 and find its inverse. Also express 2 3 A´ – 4A* Verify Cayley-Hamilton theorem for the matrix A = - 7A' + 11A? - A – 101 as a linear polynomial in A
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