How to add matrices
- The sum of two matrices is determined by adding corresponding elements of two matrices.
- Each element needs to be added with the element which is in the same identical location of the second matrix.
The following example shows how to add matrices.
\[\Large
A =
\begin{bmatrix}
2 & 8 & 6 \\
0 & 5 & 4 \\
3 & 7 & 3
\end{bmatrix}
\;\;\;\;\;
B =
\begin{bmatrix}
3 & 5 & 2 \\
6 & 0 & 1 \\
4 & 9 & 1
\end{bmatrix}
\]
\[\Large
A + B =
\begin{bmatrix}
2+3 & 8+5 & 6+2 \\
0+6 & 5+0 & 4+1 \\
3+4 & 7+9 & 3+1
\end{bmatrix}
=
\begin{bmatrix}
5 & 13 & 8 \\
6 & 5 & 5 \\
7 & 16 & 4
\end{bmatrix}
\]