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

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
Transcribed Image Text: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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