Perform Scalar Multiplication
-Let $\mathrm { A } = \left[ \begin{array} { r r } - 3 & 6 \ 0 & 2 \end{array} \right]$. Find 4A.
A)
$$\left[ \begin{array} { r r }
- 12 & 24 \
0 & 8
\end{array} \right]$$
B)
$\left[\begin{array}{rr}
-12 & 24 \
0 & 2
\end{array}\right]$
C)
$\left[\begin{array}{rr}
-12 & 6 \
0 & 2
\end{array}\right]$
D)
$\left[\begin{array}{rr}
1 & 10 \
4 & 6
\end{array}\right]$

Question

Perform Scalar Multiplication
-Let $\mathrm { A } = \left[ \begin{array} { r r } - 3 & 6 \ 0 & 2 \end{array} \right]$. Find 4A.
A)
$$\left[ \begin{array} { r r } 
- 12 & 24 \
0 & 8
\end{array} \right]$$
B)
$\left[\begin{array}{rr}
-12 & 24 \
0 & 2
\end{array}\right]$
C)
$\left[\begin{array}{rr}
-12 & 6 \
0 & 2
\end{array}\right]$
D)
$\left[\begin{array}{rr}
1 & 10 \
4 & 6
\end{array}\right]$

Quizplus · Accepted Answer

To perform scalar multiplication, each element of matrix A is multiplied by the scalar value 4. Thus, $-3 \times 4 = -12$, $6 \times 4 = 24$, $0 \times 4 = 0$, and $2 \times 4 = 8$, resulting in the matrix $\left[ \begin{array} { r r } - 12 & 24 \ 0 & 8 \end{array} \right]$.

Perform Scalar Multiplication -Let A=[−3602]\mathrm { A } = \left[ \begin{array} { r r } - 3 & 6 \\ 0 & 2 \end{array} \right]A=[−30​62​]

Perform Scalar Multiplication
-Let $\mathrm { A } = \left[ \begin{array} { r r } - 3 & 6 \\ 0 & 2 \end{array} \right]$