Let A be a symmetric matrix. Show that 1/2(A^t + A) is symmetric matrix. 4. Let A be a symmetric matrix. Show that(A' + A) is symmetric.

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Answered: 4. Let A be a symmetric matrix. Show…

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4. Let A be a symmetric matrix. Show that (A' + A) is symmetric.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.4: Orthogonal Diagonalization Of Symmetric Matrices

Problem 16EQ

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Question

Let A be a symmetric matrix. Show that 1/2(A^t + A) is symmetric matrix.

4. Let A be a symmetric matrix. Show that
(A' + A) is symmetric.

Definition Definition Matrix whose transpose is equal to itself. For a symmetric matrix A, A=AT.

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