Let \( M \) be the set of all \( 2 \times 2 \) matrices with entries from the set \( R \) of rea...

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Let \( M \) be the set of all \( 2 \times 2 \) matrices with entries from the set \( R \) of real numbers. Then the function \( f: M \rightarrow R \) defined by \( f(A)=|A| \) for every \( A \in M \), is
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