Find the matrix A of the quadratic form associated with the equation. 6x2 - 9xy - 6y² + 15 = 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 =
Find the matrix A of the quadratic form associated with the equation. 6x2 - 9xy - 6y² + 15 = 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
Section: Chapter Questions
Problem 1RQ
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![Find the matrix A of the quadratic form associated with the equation.
6x2 - 9xy - 6y² + 15 = 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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F788d30d7-3e5d-416d-85b2-dd122fe24e5a%2F4ab9486d-5b9f-47bc-a34b-648bd02ba1ff%2Fj0pt6x8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation.
6x2 - 9xy - 6y² + 15 = 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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