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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