Khan Academy: Transpose of a Matrix: Transpose of a Vector

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

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.

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

Video example of finding the inverse of a 3 by 3 matrix. Includes using expansion by minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix. This video also appears in the strand Algebra:...

Video explains why a matrix is singular if its determinant is 0. Illustrates that when a matrix equation is built with a singular matrix, then there are no solutions because the system it represents is that of two parallel lines. Shows...

This lesson goes through three examples of matrix multiplication. Explains how the dimensions of matrices affect whether or not the matrices can be multiplied, how to determine if they can be multiplied, and what size the resulting...

Video first explains and gives examples of identity matrices. Then explains what an inverse matrix is and shows how to calculate the inverse of a 2x2 matrix. [14:14]

Video shows how to determine the inverse of a 3 by 3 matrix using the Gauss-Jordan elimination method. This video also appears in the strand Algebra: Matrices. [13:35]

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