 Enter the elements of the matrix 1

Enter the elements of the matrix 2

Result

Matrix Addition Calculator is a free online tool that displays the addition of two matrices. BYJU’S online matrix addition calculator tool performs the calculation faster and it displays the sum of two matrices in a fraction of seconds.

## How to Use the Matrix Addition Calculator?

The procedure to use the matrix addition calculator is as follows:

Step 1: Enter the 2×2 matrix elements in the input field

Step 2: Now click the button “Solve” to get the matrix sum

Step 3: Finally, the addition of two matrices will be displayed in the output field

### What is Meant by Matrix Addition?

In Maths, matrix addition is the process of adding the two matrices, which will be performed by adding the corresponding entries of two matrices together. The two matrices can be added together if the order of the matrices is equal. It means that the matrix addition is not defined for a different size.

For example, consider two matrices A and B. The matrix A has an order of 2×2, and matrix B has an order of 3×2. In this case, the matrix addition is not possible. Consider another example of matrix A with the order of 2×2 and matrix B with the order of 2×2, the matrix addition is performed as given below:

Let $A =\begin{bmatrix} 2 & 3 \\ 1 & 2 \end{bmatrix}$, and $B =\begin{bmatrix} 1 & 2\\ 3 & 2 \end{bmatrix}$, Then the matrix addition is

$A+ B = \begin{bmatrix} 2 & 3 \\ 1 & 2 \end{bmatrix} +\begin{bmatrix} 1 & 2\\ 3 & 2 \end{bmatrix}$

$A + B = \begin{bmatrix} 2+1 & 3+2 \\ 1+3 & 2+2 \end{bmatrix}$

$A+ B = \begin{bmatrix} 3 & 5 \\ 4 & 4 \end{bmatrix}$