Problem 4.( For the matrix 5 -2 -4 A = -2 8 -2 -2 find an orthogonal matrix P such that P-1AP = D is a diagonal matrix.

College Algebra (MindTap Course List)
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Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 87E
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Problem 4.(
For the matrix
5
-2
-4
A =
-2 8 -2
find an orthogonal matrix P such that P-¹AP = D is a diagonal matrix.
Transcribed Image Text:Problem 4.( For the matrix 5 -2 -4 A = -2 8 -2 find an orthogonal matrix P such that P-¹AP = D is a diagonal matrix.
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