Linear Algebra

Matrix Transpose

Flip a matrix over its diagonal.

Formula

(A^T)_ij = A_ji

Symbol	Definition	Type & range	Units	Role
A	matrix	real matrix	—	input

Interactive calculator

Example 1

GivenA = 1, 2, 3; 4, 5, 6

Result
1 4
2 5
3 6

Example 2

GivenA = 1, 2; 3, 4

Result
1 3
2 4