Matrix Transpose Calculator

Matrix Transpose Calculator

Flip a matrix across its main diagonal and see rows become columns in real time.

Last updated: June 2026 | By Patchworkr Team

Transpose Solver
Transposed Matrix
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What Is a Matrix Transpose?

The transpose of a matrix swaps rows with columns. If the original matrix is m by n, the transpose is n by m.

How to Calculate a Matrix Transpose

  1. Enter the matrix values.
  2. Swap the rows and columns conceptually.
  3. Place each entry at its mirrored position across the diagonal.
  4. Read the transposed matrix in the result panel.
A[i][j] -> A^T[j][i]

Worked Example

[[1, 2, 3], [4, 5, 6]] transposes to [[1, 4], [2, 5], [3, 6]].

rows become columns

Frequently Asked Questions

Does transpose change the matrix shape?

Yes. An m by n matrix becomes an n by m matrix.

What if the matrix is square?

The transpose is the same size, but the rows and columns are still swapped.

Can I enter decimals?

Yes. Any finite real matrix entries are accepted.

What if a cell is blank?

Blank cells are rejected instead of being silently converted to zero.

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