Skip to content

Matrix Addition and Subtraction Calculator

Math
0.0(0)

Performs addition or subtraction on two matrices of compatible dimensions.

More tools:Math & Statistics Calculators
How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Number of Rows, Number of Columns, Matrix 1 Element (1,1), Matrix 1 Element (1,2), Matrix 1 Element (2,1), Matrix 1 Element (2,2), Matrix 1 Element (1,3), Matrix 1 Element (2,3), Matrix 1 Element (3,1), Matrix 1 Element (3,2), Matrix 1 Element (3,3), Matrix 2 Element (1,1), Matrix 2 Element (1,2), Matrix 2 Element (2,1), Matrix 2 Element (2,2), Matrix 2 Element (1,3), Matrix 2 Element (2,3), Matrix 2 Element (3,1), Matrix 2 Element (3,2), and Matrix 2 Element (3,3) in the units shown.

Step 2

Read Result Element (3,3), Result Element (3,2), Result Element (3,1), Result Element (2,3), Result Element (1,3), Result Element (2,2), Result Element (2,1), Result Element (1,2), and Result Element (1,1) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

2x2 Addition

Number of Rows: 2; Number of Columns: 2; Matrix 1 Element (1,1): 1; Matrix 1 Element (1,2): 2; Matrix 1 Element (2,1): 3; Matrix 1 Element (2,2): 4; Matrix 1 Element (1,3): 0; Matrix 1 Element (2,3): 0; Matrix 1 Element (3,1): 0; Matrix 1 Element (3,2): 0; Matrix 1 Element (3,3): 0; Matrix 2 Element (1,1): 5; Matrix 2 Element (1,2): 6; Matrix 2 Element (2,1): 7; Matrix 2 Element (2,2): 8; Matrix 2 Element (1,3): 0; Matrix 2 Element (2,3): 0; Matrix 2 Element (3,1): 0; Matrix 2 Element (3,2): 0; Matrix 2 Element (3,3): 0; Operation: Addition (+)

Result Element (3,3): 0; Result Element (3,2): 0; Result Element (3,1): 0; Result Element (2,3): 0; Result Element (1,3): 0; Result Element (2,2): 12; Result Element (2,1): 10; Result Element (1,2): 8; Result Element (1,1): 6

2x2 Subtraction

Number of Rows: 2; Number of Columns: 2; Matrix 1 Element (1,1): 1; Matrix 1 Element (1,2): 2; Matrix 1 Element (2,1): 3; Matrix 1 Element (2,2): 4; Matrix 1 Element (1,3): 0; Matrix 1 Element (2,3): 0; Matrix 1 Element (3,1): 0; Matrix 1 Element (3,2): 0; Matrix 1 Element (3,3): 0; Matrix 2 Element (1,1): 5; Matrix 2 Element (1,2): 6; Matrix 2 Element (2,1): 7; Matrix 2 Element (2,2): 8; Matrix 2 Element (1,3): 0; Matrix 2 Element (2,3): 0; Matrix 2 Element (3,1): 0; Matrix 2 Element (3,2): 0; Matrix 2 Element (3,3): 0; Operation: Subtraction (-)

Result Element (3,3): 0; Result Element (3,2): 0; Result Element (3,1): 0; Result Element (2,3): 0; Result Element (1,3): 0; Result Element (2,2): -4; Result Element (2,1): -4; Result Element (1,2): -4; Result Element (1,1): -4

3x2 Addition

Number of Rows: 3; Number of Columns: 2; Matrix 1 Element (1,1): 1; Matrix 1 Element (1,2): 2; Matrix 1 Element (2,1): 3; Matrix 1 Element (2,2): 4; Matrix 1 Element (1,3): 0; Matrix 1 Element (2,3): 0; Matrix 1 Element (3,1): 5; Matrix 1 Element (3,2): 6; Matrix 1 Element (3,3): 0; Matrix 2 Element (1,1): 7; Matrix 2 Element (1,2): 8; Matrix 2 Element (2,1): 9; Matrix 2 Element (2,2): 10; Matrix 2 Element (1,3): 0; Matrix 2 Element (2,3): 0; Matrix 2 Element (3,1): 11; Matrix 2 Element (3,2): 12; Matrix 2 Element (3,3): 0; Operation: Addition (+)

Result Element (3,3): 0; Result Element (3,2): 18; Result Element (3,1): 16; Result Element (2,3): 0; Result Element (1,3): 0; Result Element (2,2): 14; Result Element (2,1): 12; Result Element (1,2): 10; Result Element (1,1): 8

Explore the topic

Explore More Math & Statistics Calculators

Use calculators for algebra, geometry, trigonometry, probability, statistics, averages, z-scores, tests, and graphing tasks.

Explore tools
People Also Calculate

Related Calculators

Continue with another tool on a related topic.

Math

Floating-Point Calculator

This calculator demonstrates the behavior of floating-point numbers in calculations and highlights potential precision issues due to the way computers store and manipulate these numbers. It allows you to input two numbers and an operation, then displays the result and the difference between the calculated result and a more precise value.

1,294 viewsOpen calculator
Math

Polynomial Graphing Calculator

Visualizes the graph of a polynomial function by calculating and plotting points.

1,211 viewsOpen calculator
Math

Arcsin Calculator (Inverse Sine)

Calculates the angle whose sine is a given number. The result is in radians.

1,158 viewsOpen calculator
Math

Weighted Average Calculator

Calculates the average where some data points contribute more weight than others.

1,156 viewsOpen calculator