share icon

Calculating Result..

Loading icon

Matrix Addition

Matrix A
Matrix B

Table of contents

Introduction to Matrix Addition Calculator

The matrix addition calculator is a online matrix tool that assist in the addition of two matrices successfully in no time. Any two matrices of the same order could be added up using this adding matrices calculator.

As you can be in need of substracting the matrices. For that purpose you can use our subtract matrices calculator for free.

Using this add matrices calculator students can find the solution of the direct sum of the matrices. To calculate the addition of two matrices, the online add matrix calculator is the best option because it gives you a thorough step-by-step solution .

This addition matrix calculator provides step wise solution instead of the direct answer. The adding matrices solver can also use for consultation purposes in matrix addition online. Like, during manual calculations, you can compare and figure out any mistake made by you.

What is Matrix Addition?

A matrix addition is described as the process of adding two matrices by using their corresponding entries. These matrix elements are usually added through direct sum method or kronecker sum.

Related: Matrices involve many other operation that are very useful in the mathematical works. Such as for matrix multiplication and for taking the transpose of the matrix you can use multiplication of matrices calculator and matrix transposition calculator respectively.

The two matrices that are going to be added must have same order or you can same dimensions.And this adding matrix calculator use the direct sum formula to easily add both matrices with a singl click.

How to Add Matrices

The fundamental rule for the addition of two matrices is for them to have the same order. Because mathematically, it is impossible to take the combination of matrices of different orders.

For instance, we can say that the sum of two matrices can occur if and only both of them are m x n. Or in other words, all matrices being added must have the same amount of rows and columns.

Therefore, each element in A and B is added to create a new matrix C with the same number of elements as A and B.

Related: You can also take inverse of the matrix and nullity of a matrix by using our inverse of a matrix calculator and dimension of null space calculator for free.

How to Use Addition Matrix calculator

The adding matrices calculator is a user-friendly tool that could be operated just as a piece of cake. The user experience provided by this tool is more than convenient as adding matrices is just a 2 step method in this add matrices calculator.

Following the steps mentioned below, you can use the matrix combination calculator and find the solution to your matrix problems.

Select Matrix Addition Calculator with Steps

To perform matrix addition online, locate and open the adding matrix calculator in the solving matrix calculator.

Choose Matrix Dimension for Matrix A

First of all, choose your first matrix order such as 1x1, 1x2, 1x3, 1x4, 2x1, 2x2 and so on till 6x6.

Choose Matrix Dimension for Matrix B

In a similar order, the next step involves selecting the order for matrix B. The dimensions for matrix B could be chosen from 1x1 to 6x6 the same way you did for matrix A.

Input Elements for Matrix A

As soon as you choose the dimensions for both matrices, began entering elements for matrices. In this regard, first of all enter the elements for Matrix A and don’t forget to recheck if you have entered them accurately in matrix addition calculator.

Input Elements for Matrix B

After inputting matrix A’s elements go for matrix B. One by one input the elements in the correct order and double-check them, to avoid any miscalculation.

Related: You may heard of eigen values and eigen vectors of a matrix. Matrix calculator also provides the opportunity to calculate both with our eigenvalues and eigenvectors calculators. And for that purpose find our eigenvalues of matrix calculator and also find eigenvectors calculator.

Calculate the addition of matrices

The last effort required by you in order to add two matrices together is to click on the addition option or calculate button. Simply in just a fraction of seconds, matrices A and B will be summed up.

Benefits of using Matrix Addition Calculator

There is a lot of benefits you can have if you are using add two matrices calculator. Some of these benefits are:

  1. It is fast and accurate and evaluates matrix addition online.
  2. Saves time which you spend on doing manual calculations.
  3. Provides step by step results.
  4. Provides intermediate steps for more learning and practice.


How to add Matrices online step by step?

The simplest and most convenient method to take the sum of two matrices is to use this online matrix Addition Calculator.You just have to give values and click on the calculate button. Using an online matrix addition tool you will be provided with the addition of matrices with step by step solution.

Are A+B and B+A equal in Matrices?

Yes, A+B and B+A during matrix addition are equal. As the matrices hold the commutative property and thus during the addition of matrices the order of matrices doesn’t matter.

Matrices of order 3x4 and 4x3 can be added?

Two matrices having different orders i.e 3x4 and 4x3 can not be summed up. The fundamental rule to follow during matrix addition says, “the order of two matrices must have to be the same in order to sum up”.

We hope you have enjoyed using our tool because of its simplicity and easiness. We serve to make your calculations easy. You can also use our other tools such as lu factorization calculator with steps and matrix adjoint calculator.

By James Johnson - Last Updated February 28, 2022