Mathematics
Linear Algebra Mastery
Vectors, Matrices, Transformations & Eigenvalues
"Understanding beats memorization. This course builds your intuition."
$39.00
This course includes:
- 24 interactive lessons
- 72+ practice problems with solutions
- 6 module checkpoint quizzes
- Formula reference sheet included
- Lifetime access
What You'll Learn
Solve systems of linear equations using Gaussian elimination and matrix methods
Perform matrix operations including multiplication, inversion, and decomposition
Compute determinants and apply Cramer's Rule
Understand vector spaces, subspaces, basis, dimension, rank, and nullity
Find eigenvalues and eigenvectors and apply diagonalization
Apply linear algebra to transformations, least squares, and differential equations
Course Content
6 modules
24 lessons
8 hours total
Systems of Linear Equations
Introduction to Linear Systems
Free
12 min
Gaussian Elimination
Free
12 min
Row Echelon & Reduced Row Echelon Form
12 min
Solution Sets & Parametric Form
12 min
Matrix Operations
Matrix Arithmetic
12 min
Matrix Multiplication
12 min
Inverse Matrices
12 min
LU Decomposition
12 min
Determinants
Determinant Definition & Properties
12 min
Cofactor Expansion
12 min
Cramer's Rule
12 min
Applications of Determinants
12 min
Vector Spaces
Vectors in Rn
12 min
Subspaces
12 min
Linear Independence
12 min
Basis & Dimension
12 min
Rank & Nullity
12 min
Eigenvalues & Eigenvectors
Introduction to Eigenvalues
12 min
Finding Eigenvalues & Eigenvectors
12 min
Diagonalization
12 min
Applications: Differential Equations
12 min
Applications
Linear Transformations
12 min
Orthogonality & Least Squares
12 min
Review & Problem Solving
12 min
Requirements
- College algebra and basic trigonometry
- Some exposure to functions and graphing helpful
Who This Is For
- Engineering students
- Self-learners
- Exam preparation
30-Day Money-Back Guarantee
If you're not satisfied with the course for any reason, just email us within 30 days of purchase and we'll refund you in full. No questions asked.