What Is Matrix Transpose?
The Matrix Transpose Calculator takes a matrix typed as rows, one row per line, and flips it across the main diagonal so every entry at row i, column j moves to row j, column i. It states the dimensions and whether the matrix is square, then shows the transpose next to the original so you can follow each entry across. The same run also produces the identity matrix of the matching size, the determinant where that is defined, and the product A times A transpose.
Who Uses the Matrix Transpose?
Students, engineering students and data analysts use it to check a transposition against a worked answer, and software developers use it to confirm the shape of a matrix before coding a transform in a language, a spreadsheet or a graphics pipeline.
How to Use the Matrix Transpose
- Type or paste the matrix into the Matrix box, one row per line, with the values in each row separated by spaces or commas.
- Press Transpose Matrix, or hold Ctrl and press Enter, to flip the matrix across its main diagonal.
- Compare the original and the transpose side by side, then read the row and column count and the square or not square note, the identity matrix of the same size, the determinant, and A times A transpose.
Why Choose Our Matrix Transpose?
- A ragged row is reported by its row number instead of quietly producing a wrong matrix
- Original and transpose sit next to each other, which makes the swap at each position easy to verify
- The determinant is only offered for a square matrix, while A times A transpose is computed for any shape, so the two cases cannot be confused
- Results are rounded consistently to ten decimal places, which keeps floating point noise out of the determinant
Try the Matrix Transpose above — it is free, fast, and works on any device. Bookmark this page to return whenever you need it.