Find the characteristic polynomial and the eigenvalues of the matrix. -8 -3 3 -7 The characteristic polynomial is (Type an expression using i as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) B. The matrix has no real eigenvalues.

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 35EQ
icon
Related questions
Question
Find the characteristic polynomial and the eigenvalues of the matrix.
- 8 - 3
3 -7
The characteristic polynomial is
(Type an expression using i as the variable. Type an exact answer, using radicals as needed.)
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The real eigenvalue(s) of the matrix is/are
(Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.)
O B. The matrix has no real eigenvalues.
Transcribed Image Text:Find the characteristic polynomial and the eigenvalues of the matrix. - 8 - 3 3 -7 The characteristic polynomial is (Type an expression using i as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) O B. The matrix has no real eigenvalues.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Matrix Eigenvalues and Eigenvectors
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
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