Verify that ; is an eigenvalue of A and that x; is a corresponding eigenvector. -1 403€ -2 -4 Ax₁ = Ax2 = A 1 GUEU 2 = -1 ↓1 Ax3 = -1 4-6 4 5-12 x1 -6 A₁ = 13, x₁ = (1, 2, -1) 5 -12 2₂ = -3, x₂ = (-2, 10) 13 = -3, x3= (3, 0, 1) -2 -4 3 -1 4 -6 4 5 -12 -2 -4 3 1 4 -6 5 -12 3 -2 -4 -2 1 0 3 = ܕܐ = 000 ↓1 = 13 2 = 2₁x₁ 11 1 -1 I [] -3 0 N 1 =1₂x₂ 3 -3 -3 0 = 13x3
Verify that ; is an eigenvalue of A and that x; is a corresponding eigenvector. -1 403€ -2 -4 Ax₁ = Ax2 = A 1 GUEU 2 = -1 ↓1 Ax3 = -1 4-6 4 5-12 x1 -6 A₁ = 13, x₁ = (1, 2, -1) 5 -12 2₂ = -3, x₂ = (-2, 10) 13 = -3, x3= (3, 0, 1) -2 -4 3 -1 4 -6 4 5 -12 -2 -4 3 1 4 -6 5 -12 3 -2 -4 -2 1 0 3 = ܕܐ = 000 ↓1 = 13 2 = 2₁x₁ 11 1 -1 I [] -3 0 N 1 =1₂x₂ 3 -3 -3 0 = 13x3
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 λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
A₁ = 13, x₁ = (1, 2, -1)
2₂ = -3, x₂ = (-2, 10)
13 = -3, x3 = (3, 0, 1)
Ax₁ =
Ax₂ =
Ax3 =
A =
-1
-1
4
-6
5 -12
3
4
-2 -4
4 -6
4 5 -12
-2 -4 3
-1 4 -6
4 5-12
-2 -4 3
-1 4 -6
4 5 -12
2
-2 -4 3
Ņ
3
1:1-
0 =
1
1
↓1
↓ 1
= 13
2 = 1₁x₁
H]
-3
= -3
= 2₂x₂
=Agx3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63792d50-862a-477a-90e7-26b0e3ee6e5e%2Fae4c734c-1cc0-4a43-8c9c-c224c931a174%2Fs2cftu_processed.png&w=3840&q=75)
Transcribed Image Text:Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector.
A₁ = 13, x₁ = (1, 2, -1)
2₂ = -3, x₂ = (-2, 10)
13 = -3, x3 = (3, 0, 1)
Ax₁ =
Ax₂ =
Ax3 =
A =
-1
-1
4
-6
5 -12
3
4
-2 -4
4 -6
4 5 -12
-2 -4 3
-1 4 -6
4 5-12
-2 -4 3
-1 4 -6
4 5 -12
2
-2 -4 3
Ņ
3
1:1-
0 =
1
1
↓1
↓ 1
= 13
2 = 1₁x₁
H]
-3
= -3
= 2₂x₂
=Agx3
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