2.1

Matrix Operations

Addition of Matrices

You can only add two matrices of the same dimensions. If the matrices are of different dimensions then the sum is not defined.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9\end{bmatrix} + \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} = not defined}

When two matrices are of the same dimension, then to add the two matrices you simply add each of the corresponding components.

<math>\begin{bmatrix} 1 & -5 & 4 \\ 3 & 2 & -8 \\ 5 & -1 & -3\end{bmatrix} + \begin{bmatrix} 4 & 7 & 2\\ 1 & 5 & 7 \\ -3 & 2 & 5\end{bmatrix} = \begin{bmatrix} 5 & 2 & 6 \\ 4 & 7 & -1 \\ 2 & 1 & 2 \end{bmatrix}/math>