Matrix Algebra Full Course | Operations | Gauss-Jordan | Inverses | Cramer's Rule

http://www.greenemath.com/ Here, we will learn how to work with matrices in algebra. We will cover all of the basic operations, such as adding and subtracting matrices, multiplying matrices, Gauss-Jordan and Gaussian Elimination methods, finding determinants, finding the inverse, and Cramer's rule. 0:00 Introduction to Matrices 15:58 Adding and Subtracting Matrices 36:54 Multiplying a Matrix by a Scalar 54:45 Multiplying Matrices 1:21:08 Gauss-Jordan Elimination with Two Variables 1:56:26 Gauss-Jordan Elimination with Three Variables 2:35:52 Gauss-Jordan Elimination with Four Variables 2:53:21 Finding the Determinant of an n x n Matrix 3:23:00 Finding the Determinant of a 4 x 4 Matrix 3:38:22 Finding the Area of a Triangle Using Determinants 3:50:29 Testing for Collinear Points Using Determinants 3:57:56 Finding the Equation of a Line Using Determinants 4:13:55 How to Find the Inverse of a Matrix 5:02:21 Solving Linear Systems Using Inverse Matrices 5:40:08 How to Find the Transpose of a Matrix 5:44:16 How to Find the Adjoint of a Matrix 6:07:24 How to Find the Inverse Using the Adjoint 6:35:39 Cramer's Rule 2 x 2 7:01:46 Cramer's Rule 3 x 3