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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 77E

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Question

Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
2₁9, x₁ (1, 0)
=
- [8.
AX1
=
AX2
A =
=
9 0
0-9
=
22-9, x₂ = (0, 1)
=
=
↓ 1
=
9 0
-9
22x2
~-(:D)- E= -0)-*-*2
1
0-9
↓1
•[:] ·
= 2₁x1

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