Question

if \\( a = \

$$\begin{bmatrix} 5 & 9 & 2 \\\\ 1 & 7 & 6 \\\\ 3 & 4 & 8 \\end{bmatrix}$$

\\), then find \\( 6a \\).

\\( \bigcirc \

$$\begin{bmatrix} 10 & 18 & 4 \\\\ 2 & 14 & 12 \\\\ 6 & 8 & 16 \\end{bmatrix}$$

\\)

\\( \bigcirc \

$$\begin{bmatrix} 30 & 54 & 12 \\\\ 6 & 42 & 36 \\\\ 18 & 24 & 48 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrix and scalar

Using the Scalar Multiplication knowledge point

$$ A =
LATEXBLOCK0
, \quad k = 6 $$

Multiply each element by the scalar

Using the Scalar Multiplication knowledge point

$$ 6A =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

• (A) \(

$$\begin{bmatrix} 10 & 18 & 4 \\ 2 & 14 & 12 \\ 6 & 8 & 16 \end{bmatrix}$$

\)

• **(B) \(

$$\begin{bmatrix} 30 & 54 & 12 \\ 6 & 42 & 36 \\ 18 & 24 & 48 \end{bmatrix}$$

\) (Correct answer)**