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
icon
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
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
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage