(a) find the matrix A of the quadratic form associated with the equation, (b) find an orthogonal matrix P such that PTAP is diagonal, (c) use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation, and (d) sketch the graph of each equation.9x2 − 24xy + 16y2 − 400x − 300y = 0
(a) find the matrix A of the quadratic form associated with the equation, (b) find an orthogonal matrix P such that PTAP is diagonal, (c) use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation, and (d) sketch the graph of each equation.9x2 − 24xy + 16y2 − 400x − 300y = 0
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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(a) find the matrix A of the quadratic form associated with the equation,
(b) find an orthogonal matrix P such that PTAP is diagonal,
(c) use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the
(d) sketch the graph of each equation.
9x2 − 24xy + 16y2 − 400x − 300y = 0
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