Find an invertible matrix P and a diagonal matrix D such that P'AP=D. -3 24 12 | 0 -3 –3 6. A =

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 26CM: Find an orthogonal matrix P such that PTAP diagonalizes the symmetric matrix A=[1331].
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Pls help ASAP. Pls find matrix P and D. Pls show all work and pls clearly state which is the final P and D matrix for the answer. Pls do it right.

Find an invertible matrix P and a diagonal matrix D such that PAP=D.
-3 24 12
A =
0 -3 -3
0 0 0
P = 0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
D
Transcribed Image Text:Find an invertible matrix P and a diagonal matrix D such that PAP=D. -3 24 12 A = 0 -3 -3 0 0 0 P = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 D
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