Find the eigenbasis of the matrix and diagonalize it (if possible): 4 p P А%3D р 10 1 1 Use this diagonalization to find A³ and A'. For the matrix in part (i), find A' and A using Cayley-Hamilton theorem.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.4: Orthogonal Diagonalization Of Symmetric Matrices
Problem 27EQ
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when p =2

Find the eigenbasis of the matrix and diagonalize it (if possible):
4 р р
А%3D|р 10 1
1
Use this diagonalization to find A³ and A'.
For the matrix in part (i), find A? and A using Cayley-Hamilton
theorem.
Transcribed Image Text:Find the eigenbasis of the matrix and diagonalize it (if possible): 4 р р А%3D|р 10 1 1 Use this diagonalization to find A³ and A'. For the matrix in part (i), find A? and A using Cayley-Hamilton theorem.
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