Find a basis for the eigenspace corresponding to the eigenvalue. 4 A = - 2 - 1 1 - 3 1 6 - 1 6 λ = 3 A basis for the eigenspace corresponding to λ = 3 is . (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
Find a basis for the eigenspace corresponding to the eigenvalue. 4 A = - 2 - 1 1 - 3 1 6 - 1 6 λ = 3 A basis for the eigenspace corresponding to λ = 3 is . (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed.)
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
Section10.5: Eigenvalues And Eigenvectors
Problem 15E
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![Find a basis for the eigenspace corresponding to the eigenvalue.
4
A = - 2
- 1
1
1
- 1
- 3
6, λ = 3
6
-
A basis for the eigenspace corresponding to λ = 3 is {
(Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a
comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2Fdf2b8f1e-6361-45c6-9b1c-a506f113bde1%2Fhbby85_processed.png&w=3840&q=75)
Transcribed Image Text:Find a basis for the eigenspace corresponding to the eigenvalue.
4
A = - 2
- 1
1
1
- 1
- 3
6, λ = 3
6
-
A basis for the eigenspace corresponding to λ = 3 is {
(Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a
comma to separate answers as needed.)
![Find a basis for the eigenspace corresponding to each listed eigenvalue of A below.
A =
70 -2
1
40 1
- 3 4
, λ = 4,3,5
A basis for the eigenspace corresponding to λ = 4 is
(Use a comma to separate answers as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe00cebfb-aec4-474d-8979-79a2d105b819%2Fdf2b8f1e-6361-45c6-9b1c-a506f113bde1%2Fxyx6bqf_processed.png&w=3840&q=75)
Transcribed Image Text:Find a basis for the eigenspace corresponding to each listed eigenvalue of A below.
A =
70 -2
1
40 1
- 3 4
, λ = 4,3,5
A basis for the eigenspace corresponding to λ = 4 is
(Use a comma to separate answers as needed.)
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