Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

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

Options:

$\frac{k}{6}$

$2k$

$3k$

$6k$

Correct Answer:

$6k$

Explanation:

The correct answer is option (4) : $6k$

Taking 3 Common from $C_1$ and 2 from $R_1$

$\begin{bmatrix}6a & 2b & 2c\\3m & n & p\\3x & y & z\end{bmatrix}=3×2\begin{bmatrix}a & b & c\\m & n & p\\x & y & z\end{bmatrix}=6k$