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For the symmetric matrix -2 1 -1 A = 1 -2-1 -1-2, find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13-612-9A, and one of its roots is -3. D= P=

For the symmetric matrix -2 1 -1 A = 1 -2-1 -1-2, find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13-612-9A, and one of its roots is -3. D= P=

Advanced Engineering Mathematics
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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For the symmetric matrix -2 1 -1 1 -2 -1 -1 -1 -2, find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13-612-9A, and one of its roots is -3. A = D= P =
Transcribed Image Text:For the symmetric matrix -2 1 -1 1 -2 -1 -1 -1 -2, find a diagonal matrix D and an orthogonal matrix P for which PT AP= D. The matrix D should have its diagonal entries in increasing order from top left to bottom right. Use: the characteristic polynomial of A is CA (A)=-13-612-9A, and one of its roots is -3. A = D= P =
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