) Consider the following matrix: 1 o = cos 0 0 1 1 0 + sin 0 0 -1 where 0 is a real number. Are its eigenvalues real? Why or why not?

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
icon
Related questions
Question
) Consider the following matrix:
1
o = cos 0
0 1
1 0
+ sin 0
0 -1
where 0 is a real number. Are its eigenvalues real? Why or why not?
Transcribed Image Text:) Consider the following matrix: 1 o = cos 0 0 1 1 0 + sin 0 0 -1 where 0 is a real number. Are its eigenvalues real? Why or why not?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,