3. Consider the following matrix and answer the following questions: A = (a)-12 points Without doing any calculations explain why A is diagonalizable. A is diognozible because it's also is invertible (b) Compute the eigenvalues of A. (c) 16 points) Compute the eigenvectors of A. -1=

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 26EQ
icon
Related questions
Question
3.
Consider the following matrix and answer the following questions:
-CO
A =
(a) 12 points Without doing any calculations explain why A is diagonalizable.
A is
diagnozible because it's
olso is invertible
Compute the eigenvalues of A.
(5²
(c) 16 points) Compute the eigenvectors of A.
-1-
AC
Transcribed Image Text:3. Consider the following matrix and answer the following questions: -CO A = (a) 12 points Without doing any calculations explain why A is diagonalizable. A is diagnozible because it's olso is invertible Compute the eigenvalues of A. (5² (c) 16 points) Compute the eigenvectors of A. -1- AC
Expert Solution
steps

Step by step

Solved in 7 steps with 6 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
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,
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