Perform the matrix operation.
-Let $A = \left[ \begin{array} { l l } 3 & 3 \ 2 & 4 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & 4 \ - 1 & 6 \end{array} \right]$. Find $4 A + B$.
A)
$\left[ \begin{array} { r r } 12 & 7 \ 7 & 10 \end{array} \right]$

B)

$\left[ \begin{array} { r r } 12 & 16 \ 7 & 22 \end{array} \right]$

C)
$\left[ \begin{array} { r r } 12 & 16 \ 1 & 10 \end{array} \right]$

D)
$\left[ \begin{array} { r r } 12 & 28 \ 4 & 40 \end{array} \right]$

Question

Perform the matrix operation.
-Let $A = \left[ \begin{array} { l l } 3 & 3 \ 2 & 4 \end{array} \right]$ and $B = \left[ \begin{array} { r r } 0 & 4 \ - 1 & 6 \end{array} \right]$. Find $4 A + B$.
A)
$\left[ \begin{array} { r r } 12 & 7 \ 7 & 10 \end{array} \right]$

B)

$\left[ \begin{array} { r r } 12 & 16 \ 7 & 22 \end{array} \right]$

C)
$\left[ \begin{array} { r r } 12 & 16 \ 1 & 10 \end{array} \right]$

D)
$\left[ \begin{array} { r r } 12 & 28 \ 4 & 40 \end{array} \right]$

Quizplus · Accepted Answer

First, multiply matrix $A$ by 4: $4A = 4 \times \left[ \begin{array} { l l } 3 & 3 \ 2 & 4 \end{array} \right] = \left[ \begin{array} { l l } 12 & 12 \ 8 & 16 \end{array} \right]$. Then, add matrix $B$ to the result: $\left[ \begin{array} { l l } 12 & 12 \ 8 & 16 \end{array} \right] + \left[ \begin{array} { r r } 0 & 4 \ - 1 & 6 \end{array} \right] = \left[ \begin{array} { r r } 12 & 16 \ 7 & 22 \end{array} \right]$.

Perform the Matrix Operation A=[3324]A = \left[ \begin{array} { l l } 3 & 3 \\ 2 & 4 \end{array} \right]A=[32​34​]

Perform the Matrix Operation $A = \left[ \begin{array} { l l } 3 & 3 \\ 2 & 4 \end{array} \right]$