Adding Matrices

Adding Matrices

Binary operation that associates with every pair of matrices (A, B) of the same dimensions, a new matrix denoted by (A + B) called the sum of the matrices.

The sum of matrices is obtained by adding the corresponding elements (of matrices with the same dimensions).

Example

\(\begin{pmatrix}
4 & 6\\
2 & 3
\end{pmatrix} + \begin{pmatrix}
1 & 7\\
5 & 8
\end{pmatrix} = \begin{pmatrix}
4 + 1 & 6 + 7\\
2+5 & 3 + 8
\end{pmatrix} = \begin{pmatrix}
5 & 13\\
7 & 11
\end{pmatrix}\)

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