-4 -2 3 -2 -2 -2 -7 2 -6 Ax2 6 1 12x2 1

Algebra and Trigonometry (6th Edition)
6th Edition
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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8

Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector.
11 = -11, x1 = (1, 2, –1)
12 = -3, x2 = (-2, 1 0)
13 = -3, x3 = (3,0, 1)
-4 -2
3
A =
-2 -7
1 2 -6
-4 -2
3
1
Ax1
-2 -7
2 -6
6
2
= -11
2
1
-1
-4 -2
3
-2
-2
Ax2
-2 -7
6
1
-3
1
12x2
1 2 -6
-4 -2
3
3
3
Ax3
-3 0
= 13x3
-2 -7
1
2 -6
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = -11, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3,0, 1) -4 -2 3 A = -2 -7 1 2 -6 -4 -2 3 1 Ax1 -2 -7 2 -6 6 2 = -11 2 1 -1 -4 -2 3 -2 -2 Ax2 -2 -7 6 1 -3 1 12x2 1 2 -6 -4 -2 3 3 3 Ax3 -3 0 = 13x3 -2 -7 1 2 -6
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