Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each w is a comma-separated list.) 4 200 2 400 0 0 4 2 0 0 2 4

Find a matrix P such that PTAP orthogonally diagonalizes A. Verify that PTAP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each w is a comma-separated list.) 4 200 2 400 0 0 4 2 0 0 2 4

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...

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Question

Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that PTAP_gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
4 2 0 0
2 4 0 0
A =
0 0 4 2
0 0 2 4
[1,0, – 1,0],[1, 0, 1, 0],[0, 1, 0, – 1],[0, 1, 0, 1]], [[12, 0, 0, 0],[0, 12, 0, 0],[0, 0, 4, 0],[0, 0, 0 ×
)
(Р, РТАР)

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