Find the matrix A of the quadratic form associated with the equation.бх2 - 5ху - бу?+8 %3D 0-5/2A =-5/2-6Find the eigenvalues of A. (Enter your answers as a comma-separated list.)13132Find 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.)[[-5, 1],[1, 5]]| ×P =

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Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 8 = 0 6 -5/2 A = -5/2 -6 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 13 13 2 ' 2 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.) - [[-5, 1],[1,5]] * P=

Find the matrix A of the quadratic form associated with the equation. 6x2 - 5xy - 6y2 + 8 = 0 6 -5/2 A = -5/2 -6 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 13 13 2 ' 2 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.) - [[-5, 1],[1,5]] * P=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Find the matrix A of the quadratic form associated with the equation.
бх2 - 5ху - бу?+8 %3D 0
-5/2
A =
-5/2
-6
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
13
13
2
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.)
[[-5, 1],[1, 5]]| ×
P =

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