Question

calculate \\(-2s\\) if \\(s = \

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

\\).

• \\(\

$$\begin{bmatrix} -4 & -6 \\\\ -8 & -10 \\\\ 12 & 8 \\end{bmatrix}$$

\\)

• \\(\

$$\begin{bmatrix} -4 & 2 \\\\ -8 & -20 \\\\ 12 & 8 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrix and scalar

Using the Scalar Multiplication knowledge point

$$ S =
LATEXBLOCK0
, \quad k = -2 $$

Multiply each element by the scalar

Using the Scalar Multiplication knowledge point

$$ -2S =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

• **

$$\begin{bmatrix} -4 & -6 \\ -8 & -10 \\ 12 & 8 \end{bmatrix}$$

(Correct answer)**
*

$$\begin{bmatrix} -4 & 2 \\ -8 & -20 \\ 12 & 8 \end{bmatrix}$$