Tutorials on Advanced Math and Computer Science Concepts

Linear Algebra

Section 1

Introduction to Vectors
Subspaces
Spanning Sets and Linear Independence
Dot Product and Length
Projections
Cross Products

Section 2

Matrix Representations of Systems
Reduced Row Echelon Form and Rank

Section 3

Matrix Operations
Matrix Transposes
Matrix Multiplication
Matrix and Linear Mappings
Geometric Transformations
Identity and Inverse Matrices

Section 4

Determinates in Terms of Cofactors
Elementary Row Operators and Determinates
Matrix Inverses and Cramer's Rule
Eigenvalues and Eigenvectors