Representation of Matrix
\[A_{m\times n}\] here A is a matrix of order\[{m\times n}\] where m represents number of horizantal rows and n represents no of column of the given matrix.
Addition of two matrices
Two matrices A and B can be algebrically added if and only if order of matrix A is equal to order of matrix B .
Example 1- \[\begin{bmatrix}2&4\\3&8\end{bmatrix}\]+\[\begin{bmatrix}4&6\\1&9\end{bmatrix}\]=\[\begin{bmatrix}6&10\\4&17\end{bmatrix}\] here given matrices can be added since they have the same order.
Example 2-\[\begin{bmatrix}2&4\\3&8\end{bmatrix}\] and \[ \begin{bmatrix} 2& 3 &4 \\3 &3 &3 \\ \end{bmatrix}\] can not be added
because order of first matrix is not same as that of matrix 2
