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Solving A System of Linear Equations Using Row Operations
Solving A System of Equations Using a TI-84
Adding and Subtracting Matrices
Scalar Multiplication and Matrix Multiplication
Determining Whether A Matrix Product is Defined
The Trace of a Square Matrix
The Transpose of a Matrix
Properties of the Transpose of a Matrix
Finding an Inverse Matrix Using Row Operations
Finding an Inverse of a 2 x 2 Matrix Using a Formula
Using an Inverse Matrix to Solve a System of Equations
Elementary Matrices- The Basics
Finding A Sequence of Elementary Matrices
LU Factorization of a Matrix
Finding the Determinant of a 2 x 2 Matrix
Finding the Minors and Cofactors of a 3 x 3 Matrix
Finding the Determinant of a 3 x 3 Matrix Using Minors and Cofactors
Finding the Determinant of a 3 x 3 Matrix (alternative method)
Determinant of a Triangular Matrix
Matrix Conditions Resulting in a Zero Determinant
Properties of Determinants: det(AB) = det(A)det(B)
Linear Algebra- Properties of Determinants (part 2)
Properties of Determinants (part 3)
Introduction to Eigenvalues and Eigenvectors
Use the Characteristic Equation to Find Eigenvalues and Eignevectors
Using Determinants to Find the Equation of a Line
Introduction to Vectors in the Plane
Properties of Vector Addition and Scalar Multiplication
Writing a Vector as a Linear Combination of Other Vectors
Finding the Length of a Vector in R^n/ Finding a Unit Vector
Finding the Angle between Two Vectors
Finding Orthogonal Vectors
Determining Whether S is a Basis for an Indicated Vector Space
Finding Bases for Row and Column Spaces
Finding a Basis and Dimension for a Homogeneous System of Linear Equations
Finding the Least Sqares Solution to a System
The Gram-Schmidt Orthonormalization Process
Determining Whether a Set of Vectors is Orthogonal, Orthonormal, or Neither
Introducing Linear Transformations
