Matrix Addition Calculator

Add two matrices of the same size quickly and easily.

Matrix Addition

Enter the dimensions and values of two matrices to compute their sum.

Enter Matrix Dimensions
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 \( \begin{bmatrix} 6 & 8 \\ 10 & 12 \end{bmatrix} \).