Question

question 8 points 2

calculate -k for the matrix \\( k = \

$$\begin{bmatrix} 3 & -8 \\\\ 4 & -6 \\\\ 10 & 8 \\end{bmatrix}$$

\\).

\\( \bigcirc \

$$\begin{bmatrix} -3 & 8 \\\\ -4 & 6 \\\\ -10 & -8 \\end{bmatrix}$$

\\)

\\( \bigcirc \

$$\begin{bmatrix} 8 & 3 \\\\ 6 & 4 \\\\ 8 & 10 \\end{bmatrix}$$

\\)

Explanation:

Define the given matrix

Using the Matrix Negation knowledge point

$$ k =
LATEXBLOCK0
$$

Apply scalar multiplication

Using the Scalar Multiplication knowledge point

$$ -k = -1 \cdot
LATEXBLOCK1
=
LATEXBLOCK2
=
LATEXBLOCK3
$$

Answer:

• **\(

$$\begin{bmatrix} -3 & 8 \\ -4 & 6 \\ -10 & -8 \end{bmatrix}$$

\) (Correct answer)**

• \(

$$\begin{bmatrix} 8 & 3 \\ 6 & 4 \\ 8 & 10 \end{bmatrix}$$

\)