Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 21 = 5, x1 = (1, 0, 0) 12 = 3, x2 = (1, 2, 0) 23 = 4, x3 = (-4, 1, 1) 5 -1 5 A =|0 3 1 0 4 %3D 5 -1 5 Ax1 3 1 5 0 4 5 -1 5 1 Ax2 3 1 2 32 0 4 5 -1 5 -4 Ахз 3 1 4 = 13x3 0 4 1

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Verify that 1; is an eigenvalue of A and that X¡ is a corresponding eigenvector.
11 = 5, x1 = (1, 0, 0)
12 = 3, x2 = (1, 2, 0)
23 = 4, x3 = (-4, 1, 1)
5 -1 5
A =
3 1
0 4
5 -1 5
1
1
Ax1
5 0
= 11X1
3 1
0 4
5 -1 5
1
1
Ax2
3 1
2
3 2
0 4
5 -1 5
4
Ax3
3 1
1
1
23X3
0 4
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that X¡ is a corresponding eigenvector. 11 = 5, x1 = (1, 0, 0) 12 = 3, x2 = (1, 2, 0) 23 = 4, x3 = (-4, 1, 1) 5 -1 5 A = 3 1 0 4 5 -1 5 1 1 Ax1 5 0 = 11X1 3 1 0 4 5 -1 5 1 1 Ax2 3 1 2 3 2 0 4 5 -1 5 4 Ax3 3 1 1 1 23X3 0 4
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