Matrix Transpose Calculator
Swap every matrix row with its corresponding column.
How the matrix transpose calculator works
Transposing a matrix reflects its entries across the main diagonal, turning each original row into a new column. No arithmetic values change; only their positions and the dimensions change. This calculator validates a rectangular grid, swaps the two indexes for every entry, and reports both shapes so the transformation is easy to confirm before copying the result.
The default two-by-three matrix has rows 1, 2, 3 and 4, 5, 6. Its verified transpose is a three-by-two matrix with rows 1, 4; 2, 5; and 3, 6. The top-right value 2 moves to the middle-left position, illustrating the general rule that entry row i, column j becomes row j, column i.
Reading matrix transpose calculator results privately
Every input row must contain the same number of numeric entries; blank or ragged rows are rejected rather than padded. Transposition works for rectangular as well as square matrices and applying it twice restores the original. This page treats cells as numbers, so text labels, symbolic expressions, and complex-number notation are not parsed. This matrix transpose calculator calculation runs entirely in your browser, so the numbers you enter never leave your device.
Frequently Asked Questions
Does a transpose change the matrix values?
No. It only relocates each value by exchanging its row and column indexes.
What happens to matrix dimensions?
An m-by-n matrix becomes n-by-m. A square matrix keeps the same dimensions.
Is the matrix transpose calculator private?
Yes. Its inputs and results stay in your browser. Bushe.co does not upload or store the values used in this calculation.
Browse the full set of free, private, in-browser tools.