Question

question 22 points 2

find \\(5h\\) for the matrix \\(h = \

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

\\).

\\(\bigcirc \

$$\begin{bmatrix} -40 & -20 & -30 \\\\ -5 & 10 & 35 \\\\ -10 & 25 & -15 \\end{bmatrix}$$

\\)

\\(\bigcirc \

$$\begin{bmatrix} 40 & 20 & 30 \\\\ 5 & -10 & -35 \\\\ 10 & -25 & 15 \\end{bmatrix}$$

\\)

Explanation:

Identify the operation

Using the Scalar Multiplication knowledge point

$$ 5H = 5
LATEXBLOCK0
$$

Multiply each element

Using the Scalar Multiplication knowledge point

$$ 5H =
LATEXBLOCK1
=
LATEXBLOCK2
$$

Answer:

• (A) \(

$$\begin{bmatrix} -40 & -20 & -30 \\ -5 & 10 & 35 \\ -10 & 25 & -15 \end{bmatrix}$$

\)

• **(B) \(

$$\begin{bmatrix} 40 & 20 & 30 \\ 5 & -10 & -35 \\ 10 & -25 & 15 \end{bmatrix}$$

\) (Correct answer)**