rify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. а13 -11, х, 3 (1, 2, -1) 6, 12 = -3, x, = (-2, 1 0) d3 = -3, x3 = (3, 0, 1) -4 -2 3 A = -2 -7 1 2 -6 -4 -2 3 1 -2 -7 6 2 = -11 2 = 1,x1 %3D 1 2 -6 -1 - -4 -2 3 -2 -2 2 = -2 -7 6 1 = -3 = 12x2 2 -6 JL -- E -4 -2 3 = -2 -7 -3 = 13×3 1 2 -6 11
rify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. а13 -11, х, 3 (1, 2, -1) 6, 12 = -3, x, = (-2, 1 0) d3 = -3, x3 = (3, 0, 1) -4 -2 3 A = -2 -7 1 2 -6 -4 -2 3 1 -2 -7 6 2 = -11 2 = 1,x1 %3D 1 2 -6 -1 - -4 -2 3 -2 -2 2 = -2 -7 6 1 = -3 = 12x2 2 -6 JL -- E -4 -2 3 = -2 -7 -3 = 13×3 1 2 -6 11
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,...
Related questions
Question
![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
A =
-2 -7
6.
1
2
-6
-4 -2
3
1
AX 1
2 = 1,x1
-2 -7
6.
2
11
1
2 -6
-1
-1
-4 -2
-2
-2
Ax2
-2 -7
1
= -3
1
1
2 -6
-4 -2
Ax3 =
-2 -7
6.
-3
= 13×3
2 -6
1
m O LO](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8da88dc9-3e77-486a-8ec6-3f0cdde95c13%2F1059be14-77c3-4dc7-a16e-8ca0f006f880%2F91rhr8e_processed.png&w=3840&q=75)
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
A =
-2 -7
6.
1
2
-6
-4 -2
3
1
AX 1
2 = 1,x1
-2 -7
6.
2
11
1
2 -6
-1
-1
-4 -2
-2
-2
Ax2
-2 -7
1
= -3
1
1
2 -6
-4 -2
Ax3 =
-2 -7
6.
-3
= 13×3
2 -6
1
m O LO
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