Question

If $\left| \begin{matrix} a & b & c \\ m & n & p \\ x & y & z \end{matrix} \right| = k$, then $\left| \begin{matrix} 6a & 2b & 2c \\ 3m & n & p \\ 3x & y & z \end{matrix} \right| =$

• A. $k/6$
• B. $2k$
• C. $3k$
• D. $6k$

Answer 1

Answer: (D)

$6k$

Answer 2

$\left| \begin{matrix} 6a & 2b & 2c \\ 3m & n & p \\ 3x & y & z \end{matrix} \right|$ = 2 × 3 $\left| \begin{matrix} a & b & c \\ m & n & p \\ x & y & z \end{matrix} \right| = 6k$.