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प्रश्न
If A is a square matrix such that |A| = 2, write the value of |A AT|.
उत्तर
\[\text{ In a square matrix, }\left| A \right| = \left| A^T \right| . \]
\[\text{ Since they are of same order, }\left| A A^T \right| = \left| A \right|\left| A^T \right| . \]
\[\text{ Given: }\left| A \right| = 2\]
\[ \Rightarrow \left| A A^T \right| = 2 \times 2 = 4\]
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