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=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 12E
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