Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. 8 A = A1 = 8, x1 = (1, 0) 12 = -8, x2 = (0, 1) 0 -8 ⒤갓⒤갓⒤뀐 8 1 1 Ax1 0 -8 8 Ax2 12x2 0 -8 I 1

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 A; is an eigenvalue of A and that x; is a corresponding eigenvector.
A-[: :)
21 = 8, x1 = (1, 0)
22 = -8, x2 = (0, 1)
8
0 -8
⒤갓뀐⒤뀐⒤뀐⒤뀐⒤
8
1
1
Ax1
0 -8
8
Ax2
12x2
0 -8
I 1
Transcribed Image Text:Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. A-[: :) 21 = 8, x1 = (1, 0) 22 = -8, x2 = (0, 1) 8 0 -8 ⒤갓뀐⒤뀐⒤뀐⒤뀐⒤ 8 1 1 Ax1 0 -8 8 Ax2 12x2 0 -8 I 1
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