Matrix is the systematic arrangement of numbers in the rectangular form into horizontal rows and vertical columns. Matrix addition is adding the matrices of same dimension.

Matrix Addition Calculator add the matrices of the order 2 $\times$ 2.

If there are two matrices A and B then Matrix addition is given by

Where m and n are the row and column of the matrices and each should be equal  to other .i.e. m = n.

Step 1 : Read the problem and note down the given two matrices.

Step 2 : Add the elements of the first matrix with the corresponding elements of the other.

Consider two matrices A and B Where A = $\begin{bmatrix} a & c\\ b & d \end{bmatrix}$ and B = $\begin{bmatrix} p & r\\ q & s \end{bmatrix}$.

The Matrix addition is given by

Below are given some problems based on Matrix addition which may be helpful for you.

### Solved Examples

Question 1: Find the addition of matrices.
A = $\begin{bmatrix} 2 & 3\\ 5 & 6 \end{bmatrix}$ and B = $\begin{bmatrix} 4 & 4\\ 3 & 2 \end{bmatrix}$
Solution:

A + B = $\begin{bmatrix} 2 & 3\\ 5 & 6 \end{bmatrix} + \begin{bmatrix} 4 & 4\\ 3 & 2 \end{bmatrix}$
= $\begin{bmatrix} 6 & 7\\ 8 & 8 \end{bmatrix}$

Question 2: Find the addition of the given matrices A = $\begin{vmatrix} 2&3 \\ 4&5 \end{vmatrix}$ and B = $\begin{vmatrix} 4&6 \\ 8&10 \end{vmatrix}$
Solution:

Given: The matrix addition is given by
A + B = $\begin{vmatrix} 2&3 \\ 4&5 \end{vmatrix}$ + $\begin{vmatrix} 4&6 \\ 8&10 \end{vmatrix}$
= $\begin{vmatrix} 6&9 \\ 12&15 \end{vmatrix}$.