Question

A matrix A of order 3 × 3 is such that |A| = 4. Find the value of |2 A|.

Answer 1

\[\left| KA \right| = K^n \left| A \right| \] 
Here, n is the order of A . 
\[\text{ Given: }\left| A \right| = 4\] 
\[ \Rightarrow \left| 2A \right| = 2^3 \times 4 = 32\]