Find the matrix A of the quadratic form associated with the equation. 3x2-8xy-3y2 +15-0 A- 3 4 PM 4 3 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) A-5₁-5 x Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 11, [row 21.], where each row is a comma-separated list.) Need Help?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
icon
Related questions
Question
Find the matrix A of the quadratic form associated with the equation,
3x2-8xy-3y2 +15-0
A-
3
4
3
P=
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
A-5₁-5
✓
x
Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 21.), where each row is a comma-separated list.)
Need Help? Road H
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation, 3x2-8xy-3y2 +15-0 A- 3 4 3 P= Find the eigenvalues of A. (Enter your answers as a comma-separated list.) A-5₁-5 ✓ x Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 21.), where each row is a comma-separated list.) Need Help? Road H
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning