Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 9 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) P =

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the matrix A of the quadratic form associated with the equation.
6x2 - 5xy - 6y² + 9 = 0
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
P =
II
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y² + 9 = 0 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) P = II
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