Question

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

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

b = \

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

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

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

Explanation:

Step1: Add corresponding top row entries

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

Step2: Add corresponding bottom row entries

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

Step3: Simplify each entry

Calculate each summed value:
Top row: $-4, -1, -8, -5$
Bottom row: $10, -2, -1, -6$

Answer:

$$\begin{bmatrix} -4 & -1 & -8 & -5 \\ 10 & -2 & -1 & -6 \end{bmatrix}$$