Question

question 3 points 1

find \\(-f\\) for the given matrix.

\\(f = \

$$\begin{bmatrix} 20 & -6 & -42 & 22 \\end{bmatrix}$$

\\)

\\(\bigcirc \

$$\begin{bmatrix} -20 & 6 & 42 & -22 \\end{bmatrix}$$

\\)

\\(\bigcirc \

$$\begin{bmatrix} -10 & 6 & 22 & -12 \\end{bmatrix}$$

\\)

Explanation:

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<reasoning>

Identify the given matrix

Using the Scalar Multiplication knowledge point
\[
F =

$$\begin{bmatrix} 20 & -6 & -42 & 22 \end{bmatrix}$$

\]

Apply scalar multiplication by -1

Using the Scalar Multiplication knowledge point
\[
-F = -1 \cdot

$$\begin{bmatrix} 20 & -6 & -42 & 22 \end{bmatrix}$$

=

$$\begin{bmatrix} -20 & 6 & 42 & -22 \end{bmatrix}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) \([-20 \quad 6 \quad 42 \quad -22]\)</mcq-correct>
<mcq-option>(B) \([-10 \quad 6 \quad 22 \quad -12]\)</mcq-option>
</answer>

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Answer:

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<reasoning>

Identify the given matrix

Using the Scalar Multiplication knowledge point
\[
F =

$$\begin{bmatrix} 20 & -6 & -42 & 22 \end{bmatrix}$$

\]

Apply scalar multiplication by -1

Using the Scalar Multiplication knowledge point
\[
-F = -1 \cdot

$$\begin{bmatrix} 20 & -6 & -42 & 22 \end{bmatrix}$$

=

$$\begin{bmatrix} -20 & 6 & 42 & -22 \end{bmatrix}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) \([-20 \quad 6 \quad 42 \quad -22]\)</mcq-correct>
<mcq-option>(B) \([-10 \quad 6 \quad 22 \quad -12]\)</mcq-option>
</answer>

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