Transpose Matrix Calculator

How does this transpose matrix calculator work?

This transpose matrix calculator can assist you when trying to find the transpose of a matrix having from 1 to 4 rows and/or columns.

In algebra, the transpose (M^T) represents the matrix that results from switching the rows into columns and vice-versa of a given matrix (M).

For instance a matrix with 2 rows and 3 columns if transposed will result in one having 3 rows and 2 columns.

Transpose matrix properties

1. (M^T)^T = M

2.(M + N)^T = M^T + N^T

3. (MN)^T = N^TM^T

4. (scalar * M)^T = scalar * M^T

5. det(M^T) = det(M)

6. (M^T)^-1 = (M^-1)^T

Example of a transpose