Matrices, Elements, and Transpose
n-Tuples and Matrix Arithmetic, Part 1
n-Tuples and Matrix Arithmetic, Part 2
Matrix Multiplication
The Vector Dot Product
Special Matrices
The Norm of a Vector
Unit Vectors in any Direction
Vector Addition and Triangle Inequalities
Orthogonal and Orthonormal Vectors
Solve Systems of Equations with Row Reduction, Part 1
Solve Systems of Equations with Row Reduction, Part 2
Solve Systems of Equations with Row Reduction, Part 3
Solve Systems of Equations with Row Reduction, Part 4
Solve Systems of Equations with Row Reduction, Part 5
Homogeneous Systems of Equations
Inverse of a 2x2 Matrix
Inverse of a 3x3 and Larger Matrix
Solve Systems of Equations with Inverse Matrices
Transformation Matrices for Scaling
Transformation Matrices for Rotation
Transformation Matrices for Translation
The Rank of a Matrix
Finding the Determinant of a Matrix by Row Operations - Part 1
Finding the Determinant of a Matrix by Row Operations - Part 2
Finding the Determinant of a 3x3 Matrix - Fast Method
Find the Cross Product of Two Vectors using Determinants
Cofactors of a Matrix
Finding the Determinant with Cofactors
Adjoints and Inverses
Important Properties of Determinants
Linear Independence and Basis
Motivation for Eigenvalues and Eigenvectors
The Eigenvalue Problem
Finding Eigenvalues - Part 1
Finding Eigenvalues - Part 2
Finding Eigenvalues - Part 3
Finding Eigenvalues - Part 4
Finding Eigenvectors - Part 1
Finding Eigenvectors - Part 2