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.

${\begin{bmatrix}1&2&3\\4&5&6\\7&8&9\end{bmatrix}}+{\begin{bmatrix}1&2\\3&4\end{bmatrix}}=notdefined$

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>