Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma- separated list.) 5 V5 A = V5 (Р, РТАР) -

Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma- separated list.) 5 V5 A = V5 (Р, РТАР) -

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CR: Review Exercises

Problem 66CR

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Question

(Linear Algebra)

7.3

Pls help

thanks

Find a matrix P such that P'AP orthogonally diagonalizes A. Verify that P'AP gives the proper diagonal form. (Enter each matrix in the form [[row 1], [row 2], ...], where each row is a comma-
separated list.)
5 V5
A =
V5
1
(P, PTAP) =

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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