Find the matrix A of the quadratic form associated with the equation. 3x2 - 8xy-3y2 + 9 = 0 A = λ = X Find the eigenvalues of A. (Enter your answers as a comma-separated list.) X P = Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)

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
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Find the matrix A of the quadratic form associated with the equation.
3x²8xy - 3y2 + 9 = 0
A =
λ =
X
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
X
P =
Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 3x²8xy - 3y2 + 9 = 0 A = λ = X Find the eigenvalues of A. (Enter your answers as a comma-separated list.) X P = Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
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