Find the matrix A of the quadratic form associated with the equation. 6x29xy - 6y2 + 14 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) λ = 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. 6x29xy - 6y2 + 14 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) λ = 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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Question
![Find the matrix A of the quadratic form associated with the equation.
6x²9xy - 6y² + 14 = 0
A-H
A =
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
λ =
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%2F178a74bf-72a7-4067-909c-72c599c4eab7%2F4d6e54b6-47dc-425d-9acf-9157ca137313%2F5f22lo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation.
6x²9xy - 6y² + 14 = 0
A-H
A =
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
λ =
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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