Sure! Let's add the given matrices step-by-step.
We have two matrices:
Matrix A: [tex]\(\begin{bmatrix} 1 & 2 & 3 \end{bmatrix}\)[/tex]
Matrix B: [tex]\(\begin{bmatrix} 4 & 2 & 3 \end{bmatrix}\)[/tex]
To add these matrices, we simply add the corresponding elements:
1. Add the first elements of both matrices: [tex]\(1 + 4 = 5\)[/tex]
2. Add the second elements of both matrices: [tex]\(2 + 2 = 4\)[/tex]
3. Add the third elements of both matrices: [tex]\(3 + 3 = 6\)[/tex]
So, the sum of the matrices is:
[tex]\[
\begin{bmatrix} 5 & 4 & 6 \end{bmatrix}
\][/tex]
Therefore, [tex]\( (1 \ 2 \ 3) + (4 \ 2 \ 3) = \begin{bmatrix} 5 & 4 & 6 \end{bmatrix} \)[/tex].
