Transpose of a matrix

We now explore what happens when you switch the rows and columns of a matrix!

Transpose of a matrix

Determinant of transpose

Transpose of a matrix product

Transposes of sums and inverses

Transpose of a vector

Rowspace and left nullspace

Visualizations of left nullspace and rowspace

rank(a) = rank(transpose of a)

Showing that A-transpose x A is invertible