Answered: 1 -1 1 1 -1 3. Consider the matrix A:…

1 -1 1 1 -1 3. Consider the matrix A: -1 1 -1 -1 -1 1 -1 -1 (a) Is A symmetric? Explain. (b) Is A diagonalizable? Explain. (c) Are the eigenvalues of A real? Explain.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...

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Question

1
-1
1
1
-1
3. Consider the matrix A:
-1
1
-1
-1
-1
1
-1
-1
(a) Is A symmetric? Explain.
(b) Is A diagonalizable? Explain.
(c) Are the eigenvalues of A real? Explain.

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