For any square matrix A, A A^T is a - Vidyadip

MCQ

For any square matrix $A, A A^T$ is a

A
unit matrix
✓
symmetric matrix
C
skew-symmetric matrix
D
diagonal matrix

✓

Answer

Correct option: B.

symmetric matrix

(b) : We have, $\left(A A^T\right)^T=\left(A^T\right)^T A^T=A A^T$
$\therefore \quad A A^T$ is a symmetric matrix.

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