Matrix Addition Calculator



Matrix A

Load Example

Matrix B

Load Example




Please wait.. loading-icon

Introduction to Matrix Addition Calculator

A matrix sum calculator with steps is an online tool that calculates the addition of two matrices. It uses a simple matrix addition formula by adding the corresponding entries to the calculator in addition to two matrices. It applies the addition formula in the same order of both two matrices.

In matrix algebra, we usually apply different operations on the matrices of the same order. The operations on a matrix in smaller order, i.e., 2-by-2, are easier than solving 4-by-4 matrices because of long-term calculations. That’s why we introduce a tool online which can compute the addition of matrices up to order 4-by-4.

Formula used by Matrix Add Calculator

A matrix is a rectangular array of numbers arranged in rows and columns. The matrix having m number of rows and n number of columns shown below,

$$ \begin{bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{bmatrix} $$ Where, m= number of rows n= number of columns Addition and subtraction can be applied on matrices just like in ordinary algebra. So the addition of two matrices A and B of order m×n can be defined as: $$ A+B \;=\; \begin{bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{bmatrix} \;+\; \begin{bmatrix} b_{11} & b_{12} & b_{13} \\ b_{21} & b_{22} & b_{23} \\ b_{31} & b_{32} & b_{33} \end{bmatrix} $$

The matrix addition calculator uses the above formula to calculate the addition of two matrices. It also follows the addition condition for matrices that the order of both matrices should be the same to perform addition.

How to use the Matrices Sum Calculator?

There are some simple steps to use this tool and solve the query: how to add two matrices? These steps are:

  1. In the first step, you must enter the number of rows and columns for the A matrix.
  2. Now enter the values of all of the entries of matrix A.
  3. Again enter the number of rows and columns of the B matrix and then enter the values of all matrix B elements.
  4. Click on the calculate button.

You will get the addition of the matrices after clicking on the calculate button.

Why use the Addition Calculator for Matrix?

In matrix algebra, there are multiple operations multiplied on the matrices. But also, there are different conditions associated with every operation. Similarly, there is a condition for adding two matrices that the order of both matrices should be the same.

When you are computing the addition of two matrices by hand, there are a lot of chances that you may forget to add any entry to the matrix. Or, sometimes, you may fail to follow the additional condition of the matrix. That’s why you need to use this tool.

Benefits of using Matrix Addition Formula Calculator

There are a lot of applications of the matrix in mathematics because it helps solve linear equations. It has many applications in scientific fields. This calculator can be used to calculate the addition of the matrices. Because the matrix addition solver has many beneficial uses in addition to two matrices. These benefits are:

  1. Matrix sum calculator can save your time from computing the long-term addition of matrices and provide you with a detailed solution of how to add two matrices.
  2. Matrix addition calculator can keep you safe from skipping any entry.
  3. It can help you solve many problems related to science and linear equations.
  4. Matrix add calculator is a free online tool, so you don’t need to pay any fee.
  5. Matrices Sum Calculator provides a step-by-step procedure to understand every step performed by this tool.

How to find the Matrices Addition Calculator?

You can find this tool by searching There will be a list of math tools available on this site. You can select the matrix addition tool from this list.

Alan Walker

Hamza Haroon

Last Updated April 05, 2022

I am a Content writer & Content Creator. I like writing content on different topics. Besides writing, I am an SEO-ASO-SMM specialist and Football Lover.