Find the matrix A of the quadratic form associated with the equation. 3x²8xy - 3y² + 6 = 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. 3x²8xy - 3y² + 6 = 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.
3x²8xy - 3y² + 6 = 0
1=
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%2F9348d578-66ea-4064-b97e-301aeae52239%2F47644ae7-e927-4366-91b1-2b11d3176dd9%2Fl7rca06_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation.
3x²8xy - 3y² + 6 = 0
1=
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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