Question

question 24 points 3

find \\(6c\\) if \\(c = \

$$\begin{bmatrix} 2 & 4 & 6 \\\\ 1 & 2 & 3 \\end{bmatrix}$$

\\).

\\(\bigcirc \

$$\begin{bmatrix} 12 & 24 & 36 \\\\ 6 & 12 & 18 \\end{bmatrix}$$

\\)

\\(\bigcirc \

$$\begin{bmatrix} -12 & 24 & -36 \\\\ 6 & -12 & 18 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrix and scalar

Using the Scalar Multiplication knowledge point

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

Multiply each element by the scalar

Using the Scalar Multiplication knowledge point

$$ 6C =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

• **\(

$$\begin{bmatrix} 12 & 24 & 36 \\ 6 & 12 & 18 \end{bmatrix}$$

\) (Correct answer)**

• \(

$$\begin{bmatrix} -12 & 24 & -36 \\ 6 & -12 & 18 \end{bmatrix}$$

\)