Exact rational linear algebra
Transpose Calculator
Swap rows and columns instantly while keeping every entry exact.
Matrix A
3 x 3
Matrix B
3 x 3
Basic
Square Matrix
Row Reduction
How it works
- Each row becomes a column and each column becomes a row.
- No arithmetic approximation is introduced during the transpose.
- The result can be copied as text, LaTeX, or CSV.
Common mistakes
- Mixing transpose up with inverse.
- Expecting a transpose to preserve dimensions for non-square matrices.
- Typing invalid entry formats.
FAQ
Is the transpose always defined?
Yes. Every matrix has a transpose.
Does transpose require a second matrix?
No. It is a single-matrix operation.