Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2 -3/2 -3/2 -2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
Find the matrix A of the quadratic form associated with the equation.
2x2 - 3xy - 2y2 + 13 = 0
2
-3/2
A =
-3/2
-2
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
5 5
2 2
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 =
3
-3
V5' V5
Need Help?
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Transcribed Image Text:MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2 -3/2 A = -3/2 -2 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 5 5 2 2 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 = 3 -3 V5' V5 Need Help? Read It
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