Question

question
given the matrices a and b shown below, find a + b.
a = \

$$\begin{bmatrix}-3 & 2 & -5 & 0 \\\\ 5 & 0 & -4 & -5\\end{bmatrix}$$

\quad b = \

$$\begin{bmatrix}-1 & -3 & -3 & -5 \\\\ 5 & -2 & 3 & -1\\end{bmatrix}$$

answer attempt 1 out of 2
rows: 2 \boldsymbol{-} \boldsymbol{+} \quad columns: 4 \boldsymbol{-} \boldsymbol{+}
\

$$\begin{bmatrix}\\square & \\square & \\square & \\square \\\\ \\square & \\square & \\square & \\square\\end{bmatrix}$$

Explanation:

Step1: Add corresponding top-row elements

$$\begin{bmatrix} -3 + (-1) & 2 + (-3) & -5 + (-3) & 0 + (-5) \end{bmatrix}$$

Step2: Calculate top-row sums

$$\begin{bmatrix} -4 & -1 & -8 & -5 \end{bmatrix}$$

Step3: Add corresponding bottom-row elements

$$\begin{bmatrix} 5 + 5 & 0 + (-2) & -4 + 3 & -5 + 1 \end{bmatrix}$$

Step4: Calculate bottom-row sums

$$\begin{bmatrix} 10 & -2 & -1 & -4 \end{bmatrix}$$

Step5: Combine rows into matrix

$$\begin{bmatrix} -4 & -1 & -8 & -5 \\ 10 & -2 & -1 & -4 \end{bmatrix}$$

Answer:

$$\begin{bmatrix} -4 & -1 & -8 & -5 \\ 10 & -2 & -1 & -4 \end{bmatrix}$$