Find the eigenbasis of the matrix and diagonalize it (if possible): 4 p p A =\p _10 1 [P 1 6.

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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P=9
Q5(a)
Find the eigenbasis of the matrix and diagonalize it (if possible):
4
A =
10
1
[P
1
6
Use this diagonalization to find A' and A'.
(b)
For the matrix in part (i), find A? and A using Cayley-Hamilton
theorem.
Transcribed Image Text:Q5(a) Find the eigenbasis of the matrix and diagonalize it (if possible): 4 A = 10 1 [P 1 6 Use this diagonalization to find A' and A'. (b) For the matrix in part (i), find A? and A using Cayley-Hamilton theorem.
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