How to Transpose Matrix in MATLAB: Syntax and Examples

In MATLAB, you can transpose a matrix using the ' operator or the transpose() function. For example, B = A' flips rows and columns of matrix A to create B.

Syntax

The basic syntax to transpose a matrix A in MATLAB is:

• B = A': This uses the transpose operator to flip rows and columns.
• B = transpose(A): This function returns the transpose of A.

Both produce the same result for numeric matrices.

matlab

B = A';

% or equivalently
B = transpose(A);

Example

This example shows how to transpose a 2x3 matrix into a 3x2 matrix using both methods.

matlab

A = [1 2 3; 4 5 6];

B1 = A';
B2 = transpose(A);

B1
B2

Output

B1 =
     1     4
     2     5
     3     6

B2 =
     1     4
     2     5
     3     6

Common Pitfalls

One common mistake is confusing the transpose operator ' with the complex conjugate transpose. For real numbers, they are the same, but for complex numbers, ' also takes the complex conjugate.

To get the pure transpose without conjugation for complex matrices, use transpose() function.

matlab

A = [1+1i, 2+2i; 3+3i, 4+4i];

B_conj = A';       % Complex conjugate transpose
B_pure = transpose(A); % Pure transpose

B_conj
B_pure

Output

B_conj =
   1.0000 - 1.0000i   3.0000 - 3.0000i
   2.0000 - 2.0000i   4.0000 - 4.0000i

B_pure =
   1.0000 + 1.0000i   3.0000 + 3.0000i
   2.0000 + 2.0000i   4.0000 + 4.0000i

Quick Reference

Remember these tips when transposing matrices in MATLAB:

• Use ' for transpose; it also conjugates complex numbers.
• Use transpose() for pure transpose without conjugation.
• Transpose flips rows and columns, changing matrix shape.

Key Takeaways

Use ' operator or transpose() function to transpose matrices in MATLAB.

' operator performs complex conjugate transpose for complex matrices.

Use transpose() for pure transpose without conjugation on complex data.

Transposing flips rows and columns, changing matrix dimensions.

Check matrix type to avoid unexpected conjugation effects.