Show that A' A and A A' are both symmetr...

Show that A' A and A A' are both symmetric matrices for any matrix A.

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To show that \( A' A \) and \( A A' \) are both symmetric matrices for any matrix \( A \), we need to prove that the transpose of each matrix is equal to the matrix itself. ### Step 1: Show that \( A' A \) is symmetric 1. **Start with the expression \( A' A \)**. - We need to take the transpose of this expression: \( (A' A)' \). 2. **Use the property of transposes**: ...

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NCERT EXEMPLAR-MATRICES-Matrices

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