We've learned about matrix diagonalization, which is a type of matrix decomposition. There are some others that we must learn, including LU decomposition, Cholesky decomposition, QR decomposition, and singular value decomposition. Let's...

A system of linear equations represented as an augmented matrix can be simplified through the process of Gaussian elimination to row echelon form. At that point the matrix can be converted back into equations which are simpler and easy...

This program covers the very important topic of Cramer's Rule in matrix algebra. Cramer's Rule is an alternative method used to solve a system of equations. Cramer's Rule is especially useful because it can be applied to a wide range...