About Matrix Addition

Matrix addition involves adding two matrices \( A \) and \( B \) of the same size \( m \times n \). The result matrix \( C \) has elements:

• \( c_{ij} = a_{ij} + b_{ij} \)

For example, for \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \), the result is \( \begin{bmatrix} 6 & 8 \\ 10 & 12 \end{bmatrix} \).