For the matrix A, find (if possible) a nonsingular matrix P such that P-!AP is diagonal. (If not possible, enter IMPOSSIBLE.) 12 -4 A = -3 1 P = I 1 Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-'AP =

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

For the matrix A, find (if possible) a nonsingular matrix P such that P−1AP is diagonal. (If not possible, enter IMPOSSIBLE.)

For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.)
12 -4
A =
-3
P =
Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal.
p-lAP =
Transcribed Image Text:For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not possible, enter IMPOSSIBLE.) 12 -4 A = -3 P = Verify that P-'AP is a diagonal matrix with the eigenvalues on the main diagonal. p-lAP =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning