For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter your answer as one augmented matrix. Enter sqrt(n) for vn.) A = 1 = -2, 4 [P D] =

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 64E
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For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter your answer as one augmented
matrix. Enter sqrt(n) for vn.)
A =
1 = -2, 4
3 1
[P D] =
Transcribed Image Text:For the given matrix, find an orthogonal matrix P and a diagonal matrix D such that P'AP = D. (Enter your answer as one augmented matrix. Enter sqrt(n) for vn.) A = 1 = -2, 4 3 1 [P D] =
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