Find the matrix A of the quadratic form associated with the equation. 27x2 - 72xy + 48y2 – 80x – 80y + 80 = 0 27 -36 A = -36 48 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 1 =0,75 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 =
Find the matrix A of the quadratic form associated with the equation. 27x2 - 72xy + 48y2 – 80x – 80y + 80 = 0 27 -36 A = -36 48 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 1 =0,75 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 =
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
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