- 1 - Linear Transformations , Example 1, Part 1 of 2
- 2 - Linear Transformations , Example 1, Part 2 of 2
- 3 - Procedure to Find a Basis for a Set of Vectors
- 4 - Useful Things to Remember About Linearly Independent Vectors
- 5 - Basis for a Set of Vectors
- 6 - Useful Things to Remember About Linearly Independent Vectors
- 7 - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part
- 8 - Homogeneous Systems of Linear Equations - Trivial and Nontrivial Solutions, Part
- 9 - Linear Independence and Linear Dependence, Ex 1
- 10 - Linear Independence and Linear Dependence, Ex 2
- 11 - Vectors - Finding Magnitude or Length
- 12 - Vectors - The Dot Product
- 13 - Vector Basics - Drawing Vectors/ Vector Addition
- 14 - Vector Basics - Algebraic Representations
- 15 - Vector Basics - Algebraic Representations Part 2
- 16 - Finding the Vector Equation of a Line
- 17 - An Introduction to Vectors, Part 1
- 18 - When Are Two Vectors Considered to Be the Same?
- 19 - Magnitude and Direction of a Vector, Example 1
- 20 - Magnitude and Direction of a Vector, Example 2
- 21 - Magnitude and Direction of a Vector, Example 3
- 22 - Vector Addition and Scalar Multiplication, Example 1
- 23 - Vector Addition and Scalar Multiplication, Example 2
- 24 - Finding the Components of a Vector, Ex 1
- 25 - Finding the Components of a Vector, Ex 2
- 26 - Finding a Unit Vector, Ex 1
- 27 - Finding a Unit Vector, Ex 2
- 28 - Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
- 29 - Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
- 30 - Word Problems Involving Velocity or Other Forces (Vectors), Ex 3.
- 31 - Sketching Sums and Differences of Vectors
- 32 - An Introduction to the Dot Product
- 33 - Orthogonal Projections - Scalar and Vector Projections
- 34 - Matrix Operations
- 35 - Multiplying Matrices - Example 1
- 36 - Solving Systems of Equations Using Elimination By Addition
- 37 - Row Reducing a Matrix - Systems of Linear Equations - Part 1
- 38 - Row Reducing a Matrix - Systems of Linear Equations - Part 2
- 39 - Finding the Determinant of a 3 x 3 matrix
- 40 - Solving a System of Equations Involving 3 Variables Using Elimination by Additio
- 41 - Solving a System of Equations Involving 3 Variables Using Elimination by Additio
- 42 - Solving a System of Equations Involving 3 Variables Using Elimination by Additio
- 43 - Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition
- 44 - Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition
- 45 - Systems of Linear Equations - Inconsistent Systems Using Elimination by Addition
- 46 - Solving a Dependent System of Linear Equations involving 3 Variables
- 47 - Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 1
- 48 - Using Gauss-Jordan to Solve a System of Three Linear Equations - Example 2
- 49 - Cramers Rule to Solve a System of 3 Linear Equations - Example 1
- 50 - Cramers Rule to Solve a System of 3 Linear Equations - Example 2
- 51 - Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example
- 52 - Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example
- 53 - Finding the Inverse of a 3 x 3 Matrix using Determinants and Cofactors - Example
- 54 - Determinant of a 2 x 2 Matrix - A Few Basic Questions
- 55 - Solving a 3 x 3 System of Equations Using the Inverse
- 56 - Determinants to Find the Area of a Triangle
- 57 - Determinants to Find the Area of a Polygon
- 58 - The Span of a Set of Vectors

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- Procedure to Find a Basis for a Set of Vectors