Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 12 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) = 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.) P =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the matrix A of the quadratic form associated with the equation.
6x2 - 5xy - 6y2 + 12 = 0
A =
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
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.)
P =
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 12 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 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.) P =
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