Two of the eigenvalues of the matrix are A₁5 and X₂ = 6. A 1.0 5 0 0 0 -1 -1 -1 5 -1 -1 5-1 -1 5 -1 -1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 62CR
icon
Related questions
Question

1. Find the remaining eigenvalue(s) of A, or explain why there are no others, and find the algebraic multiplicities of all the eigenvalues of A. 

2. Find bases for the eigenspaces of A. 

Two of the eigenvalues of the matrix
are X₁
= 5 and ₂ =
6.
A
1.0
5
0
0
0
-1
-1
-1
5 -1 -1
5 -1
5
-1
-1 -1
Transcribed Image Text:Two of the eigenvalues of the matrix are X₁ = 5 and ₂ = 6. A 1.0 5 0 0 0 -1 -1 -1 5 -1 -1 5 -1 5 -1 -1 -1
Expert Solution
steps

Step by step

Solved in 10 steps with 10 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage