Find the matrix A of the quadratic form associated with the equation. 4x2 - 6xy – 4y2 + 14 = 0 A = |-4 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 2 = -5,5 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 = Need Help? Read It
Find the matrix A of the quadratic form associated with the equation. 4x2 - 6xy – 4y2 + 14 = 0 A = |-4 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 2 = -5,5 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 = Need Help? Read It
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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![Find the matrix A of the quadratic form associated with the equation.
4x2 - 6xy - 4y2 + 14 = 0
-3
A =
-4
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
2 = -5,5
Find an orthogonal matrix P such that PTẠP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
P =
Need Help?
Read It](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9c4e6d3-6045-4734-bab1-32fff54ce7c7%2Fb862e180-ac32-41c4-abfa-64ccfe12bf41%2Fcgsq6qi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation.
4x2 - 6xy - 4y2 + 14 = 0
-3
A =
-4
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
2 = -5,5
Find an orthogonal matrix P such that PTẠP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
P =
Need Help?
Read It
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