8.) Find a matrix P such that PT AP orthogonally diagonalizes A. Verify that P"AP gives the proper diagonal form. 2 2 4 A 2 - 2 4 4 4 ||

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 26CM: Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].
icon
Related questions
Question

Using Linear Algebra matrixes please

8.) Find a matrix P such that P" AP orthogonally diagonalizes A. Verify that P" AP gives the proper diagonal form.
-2
4
A =
2
-2
4
4
4
4
Transcribed Image Text:8.) Find a matrix P such that P" AP orthogonally diagonalizes A. Verify that P" AP gives the proper diagonal form. -2 4 A = 2 -2 4 4 4 4
Expert Solution
steps

Step by step

Solved in 4 steps with 4 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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage