Matrix Transpose Calculator

Enter each row with numbers separated by commas or spaces.

All rows need the same number of numbers, up to 4.

This result is an estimate only. Double-check important figures before relying on them.

How it is calculated

  • (Aᵀ)ᵢⱼ = Aⱼᵢ

For the determinant of a square matrix, use the matrix determinant calculator.

Worked example

[1 2 3; 4 5 6]:

  • Row 1: 1 4
  • Row 2: 2 5
  • Row 3: 3 6

Why your number may differ

Only matrices up to 3 rows by 4 columns are shown.

Frequently asked questions

What is the transpose of a matrix?

A new matrix whose rows are the original columns. The number in row i, column j moves to row j, column i.

How does the size change?

A matrix with m rows and n columns becomes n rows and m columns.

What is a symmetric matrix?

One equal to its own transpose, such as [1 2; 2 3].