College Algebra

Systems of Equations Video Review Lessons

Linear Systems of Equations
• An Introduction to Linear Systems
• Solving Systems with Substitution
• Solving Systems by Elimination
Linear Systems in Three Variables
• An Introduction to Linear Systems in Three Variables
• Solving Linear Systems in Three Variables
• Solving Inconsistent Systems
• Solving Dependent Systems
• Solving Systems with Two Equations
Applying Linear Systems
• Investments
• Solving with Partial Fractions
Nonlinear Systems of Equations
• Solving Nonlinear Systems Using Elimination
• Solving Nonlinear Systems with Substitution
Matrices
• An Introduction to Matrices
• The Arithmetic of Matrices
• Multiplying Matrices by a Scalar
• Multiplying Matrices
• Multiplying Matrices: Can They Multiply?
The Gauss-Jordan Method of Solving Matrices
• Using the Gauss-Jordan Method
• Using Gauss-Jordan: Another Example
Evaluating Determinants
• Evaluating 2x2 Determinants
• Evaluating 3x3 Determinants
• Applying Determinants
Cramer's Rule
• Using Cramer's Rule
• Using Cramer's Rule in a 3x3 Matrix
Inverses and Matrices
• An Introduction to Inverses
• Inverses: 2x2 Matrices
• Another Look at 2x2 Inverses
• Inverses: 3x3 Matrices
• Solving a System of Equations with Inverses
Working with Inequalities
• An Introduction to Systems of Inequalities
• Graphing Systems of Inequalities
• Graphing the Solution Set of a System of Inequalities
Linear Programming
• Solving for Maxima-Minima
• Applying Linear Programming