In this lesson I will teach you about determinants. You will find this lesson similar to that of matrix multiplication in the sense that the procedure to find determinants is easy but also easy to mess up- so be careful! Nevertheless let’s take a quick look at what I will teach in the lesson. First a determinant is nothing more than a number that’s associated with all square matrices. A square matrix is one that has a number of rows equal to the number columns. The value of a determinant comes into play to help us solve all kinds of problems in math to include finding the area of a triangle and solving a system. You will see determinants used a lot in more advance mathematics so it’s critical that you learn to calculate them. Lastly you really need to be neat and structured in your work- it’s so, so easy to make a mistake.

### Video Lessons By Topic

- Absolute Value Inequalities
- Adding and Subtracting Fractions
- Adding and Subtracting Polynomials
- Adding and Subtracting Rational Expressions
- Adding Real Numbers
- Algebra Properties
- Angles
- Arcs and Chords
- Area of Basic Figures
- Best Fitting Lines
- Bisector Theorems
- Circles: Area and Circumference
- Completing The Square
- Complex and Imaginary Numbers
- Composite Functions
- Compound Inequalities
- Compound Interest
- Conditional Statements and Converses
- Congruent Figures
- Deductive and Inductive Reasoning
- Determinants
- Direct and Inverse Variation
- Distributive Property
- Division Rules of Exponents
- Equations-Inequalities-Solutions
- Exponential Growth and Decay
- Factoring Greatest Common Factor
- Factoring Quadratic Trinomials
- Finding The LCD of Rational Expressions
- Formulas and Literal Equations
- Function Operations
- Find The Equation of a Line: Given Slope and a Point
- Find The Equation of a Line: Given Two Points
- Graphing Absolute Value Equations
- Graphing Functions
- Graphing Two Variable Linear Inequalities
- Graphing Lines With One Variable
- Graphing Lines With Two Variables
- Graphing Polynomials
- Graphing Quadratic Equations
- Graphing Quadratic Inequalities
- How to Plan and Write a Proof
- Identity and Inverse Matrices
- Inscribed Circles
- Introduction to Absolute Value
- Introduction to Circles and Tangents
- Introduction to Fractions and Decimals
- Introduction to Functions and Relations
- Introduction to Logarithms
- Introduction to Matrices
- Introduction to Polygons
- Introduction to Polynomials
- Introduction to Quadratic Equations
- Inverse Functions
- Least Common Multiple / Denominator
- Line Segments and Rays
- Linear and Nonlinear Functions
- Linear Inequalities
- Linear Models / Word Problems
- Linear Programming
- Matrix Multiplication
- Matrix Operations
- Medians-Altitudes-Bisectors
- More on Angles and Lines
- Multiplying and Dividing Fractions
- Multiplying and Dividing Rational Expressions
- Multiplying and Dividing Real Numbers
- Multiplying Polynomials
- Multiplying Polynomials Special Cases
- Natural Logarithms
- Negative and Zero Exponents Rules
- Number Operations
- Operations with Radicals
- Order of Operations
- Other Angle Relationships in Circles
- Parallel Lines and Transversals
- Parallelograms
- Percent
- Points-Lines-Planes
- Polynomial Division (Long and Synthetic)
- Product and Power Rules of Exponents
- Properties of Logarithms
- Properties of Parallel and Perpendicular Lines
- Proving Congruent Triangles: ASA and AAS Theorems
- Proving Congruent Triangles: HL Theorem
- Proving Congruent Triangles: SSS and SAS Theorem
- Proving Lines Parallel
- Proving Quadrilaterals are Parallelograms
- Quadratic Equation Word Problems
- Quadrilaterals-Triangles-Midpoints
- Rational Root Theorem (Rational Zero Test)
- Ratios and Proportions
- Ratios and Proportions (Geometry)
- Real Number System
- Reflections
- Remainder and Factor Theorem
- Right Triangle Word Problems
- Rotations and Dilations
- Scientific Notation
- Segment Lengths and Circles
- Similar Polygons
- Similar Right Triangles
- Similar Triangles
- Simplifying by Combining Like Terms
- Simplifying Radicals
- Simplifying Rational Expressions
- Slope Intercept Method
- Solving Absolute Value Equations
- Solving Exponential Equations
- Solving Linear System Word Problems
- Solving Logarithmic Equations
- Solving Multi-Step Equations
- Solving n-Degree Polynomial Equations
- Solving One-Step Equations
- Solving Polynomial Equations by Factoring
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Square Roots
- Solving Radical Equations
- Solving Rational Equations
- Solving Systems by Elimination-Combination Method
- Solving Systems by Graphing
- Solving Systems of Linear Inequalities
- Solving Systems Substitution Method
- Solving Systems using Cramer’s Rule
- Solving Systems using Inverse Matrices
- Solving Two Step Equations
- Special Factoring Rules
- Special Functions
- Special Linear Systems
- Special Quadrilaterals
- Special Right Triangles
- Standard Form of Linear Equations
- Subtracting Real Numbers
- Sum and Difference of Two Cubes
- Surface Area of Basic Figures
- The Discriminant- Type of Roots
- The Distance and Mid-Point Formulas
- The Natural Base e
- The Pythagorean Theorem
- The Quadratic Formula
- The Slope of a Line
- Theorems and Postulates
- Translating Verbal and Algebraic Phrases
- Translations and Guide Reflections
- Trapezoids
- Triangle Inequalities
- Trigonometric Ratios
- Using Point-Slope Intercept
- Using Slope-Intercept Form
- Variables
- Volume of Basic Figures
- XY Intercept Method