Question

question 14 points 2

if \\( b = \

$$\begin{bmatrix} 2 & 3 & -4 \\\\ 4 & 5 & 6 \\\\ 6 & 0 & 8 \\end{bmatrix}$$

\\), then find \\( -3b \\).

\\( \bigcirc \

$$\begin{bmatrix} 2 & 3 & -4 \\\\ 4 & 5 & 6 \\\\ 6 & 0 & 8 \\end{bmatrix}$$

\\)

\\( \bigcirc \

$$\begin{bmatrix} -6 & -9 & 12 \\\\ -12 & -15 & -18 \\\\ -18 & 0 & -24 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrix and scalar

Using the Scalar Multiplication knowledge point

$$ B =
LATEXBLOCK0
, \quad k = -3 $$

Multiply each element by the scalar

Using the Scalar Multiplication knowledge point

$$ -3B =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

• (A) \(

$$\begin{bmatrix} 2 & 3 & -4 \\ 4 & 5 & 6 \\ 6 & 0 & 8 \end{bmatrix}$$

\)

• **(B) \(

$$\begin{bmatrix} -6 & -9 & 12 \\ -12 & -15 & -18 \\ -18 & 0 & -24 \end{bmatrix}$$

\) (Correct answer)**