Khan Academy: Inverting Matrices: Singular Matrices

Inverting a 3x3 matrix. This video includes using expansion of minors to determine the determinant and finding the matrix of cofactors and adjugate or adjoint matrix.

Using Gauss-Jordan elimination to invert a 3x3 matrix.

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...

Hint for finding the determinant of a 2x2 matrix,

Video explains why a matrix is singular if its determinant is 0. Relates why the inverse does not exist to solving systems of linear equations and vector combinations. This video also appears in the strand Algebra: Matrices. [14:27]

Using an invertible change of basis matrix to go between different coordinate systems.

Inverting a 3x3 matrix then calculate the matrix of minors and the cofactor matrix.

This is part two of video about 3x3 matrix inversion.

A lesson on multiplying matrices. Gives an example of two 2 X 2 matrices being multiplied. Illustrates that matrix multiplication is not commutative and that the order in which matrices are multiplied is important. [13:41]