Video explaining that the transpose of a matrix is created by switching rows and columns. The idea is shown abstractly and specifically with 2x2 matrix and 4x3 matrix. Also shows that the transpose of a transpose is the original matrix....

Video explaining two properties of transpose matrices: that the transpose of the sum of two matrices is equivalent to the sum of the transpose of each matrix and that the inverse of the transpose of a matrix is equivalent to the...

A video lesson proving that the product of a matrix and its transpose is invertible if all of the columns of the originial matrix are linearly independent. [12:34]

A video lesson showing why the rank of a matrix is the equal to the rank of that matrix's transpose. [11:13]

Video demonstrating that the transpose of the product of two matrices is equivalent to the product of their transposes in reversed order. [8:50]

Transposes of sums and inverses are reviewed with this short video.

Showing that (transpose of A)(A) is invertible if A has linearly independent columns in this short video.

Review thee relationship between left nullspace, rowspace, column space and nullspace in this short video.

Transpose of a column vector. Matrix-matrix products using vectors in this video.

Students explore transformations of matrices, rowspace and nullspace by watching a video tutorial.

A video lesson showing why the rank of a matrix is the equal to the rank of that matrix's transpose. [11:13]

On this video tutorial students explore the rank of a matrix and the rank of the transpose.

This videos shows how to take the transpose of the product of two matrices.

This videos offers a proof by induction that transposing a matrix does not change its determinant.

A video of how to transpose a matrix. [3:42]