Question

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

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

\quad b = \

$$\begin{bmatrix}2 & 4 \\\\ 5 & -2 \\\\ -4 & 1 \\\\ 2 & -3\\end{bmatrix}$$

answer attempt 1 out of 2
rows: 4 \\(-\\) \\(+\\) \quad columns: 2 \\(-\\) \\(+\\)
\

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

Explanation:

Step1: Add corresponding row1 elements

$$\begin{bmatrix} -2+2 & 5+4 \end{bmatrix} = \begin{bmatrix} 0 & 9 \end{bmatrix}$$

Step2: Add corresponding row2 elements

$$\begin{bmatrix} -2+5 & -5+(-2) \end{bmatrix} = \begin{bmatrix} 3 & -7 \end{bmatrix}$$

Step3: Add corresponding row3 elements

$$\begin{bmatrix} -2+(-4) & 1+1 \end{bmatrix} = \begin{bmatrix} -6 & 2 \end{bmatrix}$$

Step4: Add corresponding row4 elements

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

Step5: Combine all rows

Assemble the computed rows into a single matrix.

Answer:

$$\begin{bmatrix} 0 & 9 \\ 3 & -7 \\ -6 & 2 \\ -3 & -5 \end{bmatrix}$$