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For any matrix A, what is (A + A^T) called if A is a square matrix?a.Diagonal matrixb.Symmetric matrixc.Skew-symmetric matrixd.Identity matrix

Question

For any matrix A, what is (A + A^T) called if A is a square matrix?a.Diagonal matrixb.Symmetric matrixc.Skew-symmetric matrixd.Identity matrix
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Solution 1

The matrix (A + A^T) is called a Symmetric matrix.

Here's why:

A symmetric matrix is defined as a matrix that is equal to its transpose. If A is any given matrix, A^T denotes the transpose of matrix A.

The transpose of a matrix is achieved by flipping it over its diagonal, swapping the row and Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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