A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)
A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) A₁ = d₂ = 23 = 181249 1 18 1 2 4 1 18 1 2 5 9 4 4 4 0 0 1 443 9 1 0 1 -1 1 8 0-1 has eigenspace span has eigenspace span = has eigenspace span ↓ 1 (LF) 80 0 00 0 00-1 (smallest λ-value) (largest λ-value)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 38EQ
Related questions
Question
![A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the
same eigenspaces.)
d₁=
=
^₂ =
13 =
1007240
18
1007/N +10
18 18
2
1
4
1
2
5
9
4 4 4
0 0 1
4 4 3
9 1
0
1 -1 1
8 0 -1
has eigenspace span
has eigenspace span
has eigenspace
=
80 0
00 0
0 0 -1
(LF)
span
(smallest λ-value)
(largest λ-value)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67ad69fc-d7b2-4082-8b18-7ae4b62544b8%2Fddfe1672-e133-4615-835b-3023dc4f3a0b%2Fjwhs6ie_processed.png&w=3840&q=75)
Transcribed Image Text:A diagonalization of the matrix A is given in the form P-¹AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the
same eigenspaces.)
d₁=
=
^₂ =
13 =
1007240
18
1007/N +10
18 18
2
1
4
1
2
5
9
4 4 4
0 0 1
4 4 3
9 1
0
1 -1 1
8 0 -1
has eigenspace span
has eigenspace span
has eigenspace
=
80 0
00 0
0 0 -1
(LF)
span
(smallest λ-value)
(largest λ-value)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning