Please answer this. Thank you. By inspection, find the eigenvalues of the following matrix:Enter the eigenvalues in increasing order.Eigenvalues are: i80012 07 93-3Find the characteristic equation of the matrix by inspection.[8 -8 5 40 -7 0000 8000The characteristic equation is= 0Suppose that a 4 x 4 matrix A has eigenvalues A₁=1, A2=-5, A3-8, and A4-8. Use the following method to find tr(A).If A is a square matrix and p(A) = det (Al-A) is the characteristic polynomial of A, then the coefficient of An-1 in p() is the negativeof the trace of A.tr(A) =

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Answered: By inspection, find the eigenvalues of…

By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing order. Eigenvalues are: i i 8 00 -3 12 0 7 93 H

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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Please answer this. Thank you.

By inspection, find the eigenvalues of the following matrix:
Enter the eigenvalues in increasing order.
Eigenvalues are: i
8
00
12 0
7 93
-3
Find the characteristic equation of the matrix by inspection.
[8 -8 5 4
0 -7 00
0
0 80
0
0
The characteristic equation is
= 0
Suppose that a 4 x 4 matrix A has eigenvalues A₁=1, A2=-5, A3-8, and A4-8. Use the following method to find tr(A).
If A is a square matrix and p(A) = det (Al-A) is the characteristic polynomial of A, then the coefficient of An-1 in p() is the negative
of the trace of A.
tr(A) =

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