Question

question 1 points 1

let \\(m = \

$$\begin{bmatrix} 12 & 18 \\\\ 5 & 15 \\end{bmatrix}$$

\\). find \\(3m\\).

\\(\bigcirc \

$$\begin{bmatrix} 36 & 54 \\\\ 15 & 45 \\end{bmatrix}$$

\\)

\\(\bigcirc \

$$\begin{bmatrix} -36 & 54 \\\\ 15 & -45 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrix and operation

Using the Matrix Representation knowledge point

$$ M =
LATEXBLOCK0
, \quad k = 3 $$

Apply scalar multiplication to each element

Multiply every entry in the matrix by the scalar \(3\):

$$ 3M =
LATEXBLOCK1
$$

Calculate the final matrix entries

Compute the products for each position:

$$ 3M =
LATEXBLOCK2
$$

Answer:

• **\(

$$\begin{bmatrix} 36 & 54 \\ 15 & 45 \end{bmatrix}$$

\) (Correct answer)**

• \(

$$\begin{bmatrix} -36 & 54 \\ 15 & -45 \end{bmatrix}$$

\)