# Matrix addition

## World's simplest math tool

Free online matrix adder. Just enter your matrices on the left and you'll automatically get a sum of all matrices on the right. There are no ads, popups or nonsense – just a matrix addition calculator. Created by math nerds from team Browserling.

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Matrix addition tool
What is a matrix addition?

This tool adds matrices. The matrix sum is calculated by adding the corresponding elements of two matrices. The matrices should have the same number of rows and columns and as the result you get a matrix of the same size as input matrices. When you enter matrices, you can separate them using a pipe, if they're entering them horizontally or a plus, if you're entering them vertically. You can add several matrices using different separators. You can also select the separator between the elements and rows for the initial matrices and their result. If the result isn't very readable, you can beautify it by enabling beautify output matrix option, which will even out matrix elements by adding spaces between the numbers. Mathabulous!

Matrix addition examples
Click to use

Add Two Square Matrices of Order Two

This example adds two matrices of second order, two-by-two matrices.

10 20
30 40
+
1 2
3 4

11 22
33 44

**Required options**

Separator of the input
matrix columns.
(Space by default.)

Separator of the input
matrix rows.
(Newline by default.)

Separator of columns of the
output sum matrix.
(Space by default.)

Separator of rows of the
output sum matrix.
(Newline by default.)

Calculate the Sum of 2x3 Matrices

This example finds the sum of three two-by-three rectangular matrices with fractional coefficients. It also sets beautify mode on that makes the result matrix columns more readable.

0.6 0.2 0.8
0.1 0.7 0.3
+
0.4 1.8 2.2
0.9 1.3 2.7
+
0.1 0.2222 0.3
0.4 0.5 0.6

1.1 2.2222 3.3
1.4 2.5 3.6

**Required options**

Separator of the input
matrix columns.
(Space by default.)

Separator of the input
matrix rows.
(Newline by default.)

Separator of columns of the
output sum matrix.
(Space by default.)

Separator of rows of the
output sum matrix.
(Newline by default.)

Beautify matrix by vertrically
aligning its columns.

Find the Sum of the Four Matrices

This example adds four matrices using different matrix separators. The first two and the last two are separated by a pipe character and between them is a plus character.

1 1 1 | -6 -6 -6
1 1 1 | -6 -6 -6
1 1 1 | -6 -6 -6
+
3 3 3 | 2 2 2
3 3 3 | 2 2 2
3 3 3 | 2 2 2

0 0 0
0 0 0
0 0 0

**Required options**

Separator of the input
matrix columns.
(Space by default.)

Separator of the input
matrix rows.
(Newline by default.)

Separator of columns of the
output sum matrix.
(Space by default.)

Separator of rows of the
output sum matrix.
(Newline by default.)

Beautify matrix by vertrically
aligning its columns.

Pro tips
Master online math tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinemathtools.com/matrix-add

__?input__=10%2020%0A30%2040%0A%2B%0A1%20%202%0A3%20%204&input-element-separator=%20&input-row-separator=%5Cn&output-element-separator=%20&output-row-separator=%5Cn
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