How to Add Matrices in MATLAB: Syntax and Examples

To add matrices in MATLAB, use the + operator between two matrices of the same size. For example, C = A + B; adds matrices A and B element-wise to produce C.

Syntax

Matrix addition in MATLAB uses the + operator between two matrices of the same size. Both matrices must have the same number of rows and columns.

• C = A + B; adds matrices A and B element-wise.
• A and B must be the same size.
• C is the resulting matrix after addition.

matlab

C = A + B;

Example

This example shows how to add two 2x2 matrices in MATLAB and display the result.

matlab

A = [1 2; 3 4];
B = [5 6; 7 8];
C = A + B;
disp(C);

Output

     6     8
    10    12

Common Pitfalls

Common mistakes when adding matrices in MATLAB include:

• Trying to add matrices of different sizes, which causes an error.
• Confusing element-wise addition with matrix multiplication.

Always check that matrices have the same dimensions before adding.

matlab

A = [1 2 3; 4 5 6];
B = [7 8; 9 10];

% This will cause an error because sizes differ
% C = A + B;

% Correct way: use matrices of the same size
B_correct = [7 8 9; 10 11 12];
C = A + B_correct;
disp(C);

Output

     8    10    12
    14    16    18

Quick Reference

Remember these key points for matrix addition in MATLAB:

• Use + operator for element-wise addition.
• Matrices must be the same size.
• Result is a matrix of the same size.

Key Takeaways

Use the + operator to add two matrices element-wise in MATLAB.

Both matrices must have the same dimensions to add them.

Adding matrices of different sizes causes an error.

The result of addition is a matrix of the same size.

Check matrix sizes before adding to avoid errors.