Transpose a matrix — flip its rows and columns. Enter the matrix with rows separated by semicolons.
Transpose
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Rows become columns.Usage Tip
A matrix equal to its own transpose is symmetric — common in covariance and distance matrices.
THE MATH
entry (i, j) becomes entry (j, i)
An m×n matrix becomes n×m
An m×n matrix becomes n×m
Transposing reflects a matrix across its main diagonal, swapping rows and columns.
It is fundamental to dot products, symmetric matrices, and many linear-algebra identities.
It is fundamental to dot products, symmetric matrices, and many linear-algebra identities.
Works for any rectangular matrix; rows separated by semicolons.
The result has the dimensions swapped.
Transposing twice returns the original matrix.
The result has the dimensions swapped.
Transposing twice returns the original matrix.