Linear Algebra
Intermediate

Matrix Transpose

Reflects a matrix across its main diagonal.

Formula

(AT)ij=aji(A^T)_{ij} = a_{ji}

Variables

AMatrix

Example

The transpose of [[1,2,3],[4,5,6]] is [[1,4],[2,5],[3,6]].

Did You Know?

Transposing flips a matrix over its diagonal — turning rows into columns.

matrixtranspose