1Q7. If A1 =1 , d2 = - 2 and A3 are the eigenvalues of A = ( 5 2-1 1 -1.4Find Ag and a basis of the corresponding eigenspace, then find the matrixP that diagonalize the matrix A.

We use the fact that the product of eigen values is equal to the determinant of the matrix. Also the…

Answered: Q7. If A =1, d2 = - 2 and Ag are the…

Q7. If A =1, d2 = - 2 and Ag are the eigenvalues of A = ( 5 2 4 -1 1 -1 Find A3 and a basis of the corresponding eigenspace, then find the matrix P that diagonalize the matrix A.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section: Chapter Questions

Problem 7RQ

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1
Q7. If A1 =1 , d2 = - 2 and A3 are the eigenvalues of A = ( 5 2
-1 1 -1.
4
Find Ag and a basis of the corresponding eigenspace, then find the matrix
P that diagonalize the matrix A.

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