Understanding Linear Algebra

This videos details the concept of a change of basis as is studied in an introductory linear algebra course. Three examples are given to enhance one's understanding.

This videos shows the values of the determinants of elementary matrices.

This video details the computation of a product of matrices.

In this video, we look at how elementary row operations change the value of the determinant of a matrix.

This video looks at Cramer's rule and how it can be used to compute the inverse of a matrix, giving rise to the notion of a classical adjoint and the formula to compute the inverse (though they are not explicitly mentioned in this video).