Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A). If p() - det (Al-A) - A" + C₂^"- ++Cn So, on setting /-0, we obtain that det (-A) - Cnor det (A) - (-1)^cn det (A) i
Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A). If p() - det (Al-A) - A" + C₂^"- ++Cn So, on setting /-0, we obtain that det (-A) - Cnor det (A) - (-1)^cn det (A) i
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
Related questions
Question
2(1)
![Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A).
If
p() - det (Al-A) - A" + C₂^"-
++Cn
So, on setting /-0, we obtain that
det (-A) - Cnor det (A) - (-1)^cn
det (A)
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab4a6e02-47bb-402a-b801-53102663a8fd%2F7172b68a-fa2c-423f-8f9e-a358dddcaba5%2Fd3cgl3t_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose that a 4 x 4 matrix A has eigenvalues ₁-1,A2-6, 3-7, and 14--7. Use the following method to find det (A).
If
p() - det (Al-A) - A" + C₂^"-
++Cn
So, on setting /-0, we obtain that
det (-A) - Cnor det (A) - (-1)^cn
det (A)
i
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.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![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
![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,
![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
![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
![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,
![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
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage