Matrix Transpose Calculator

A transpose flips a matrix over its main diagonal, so the first row becomes the first column. Type the matrix as rows separated by semicolons and it returns the transposed matrix, the new order, and whether a square matrix is symmetric or skew symmetric. A second action adds the products A^T A and A A^T, both of which come out square and symmetric whatever shape you start from. Rows do not have to match columns, and each side may run up to eight.