3x2 - 8xy - 3y² + 15 = 0 d the eigenvalues of A. (Enter your answers as a comma-separated list.) d 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.)
3x2 - 8xy - 3y² + 15 = 0 d the eigenvalues of A. (Enter your answers as a comma-separated list.) d 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.)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
Related questions
Question
![Find the matrix A of the quadratic form associated with the equation.
3x2 - 8xy - 3y² + 15 = 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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f30608e-bf31-4a49-92e6-e964952b6a83%2Fb7ffc46e-a1c8-4f5b-a278-f3d1920aa83c%2F8pneboo_processed.png&w=3840&q=75)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation.
3x2 - 8xy - 3y² + 15 = 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 =
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