MATH 3300: Applied Linear Algebra

Note 1.1: System of Linear Equations (Post)

Note 1.2: Row Reduction and Echelon Forms (Post)

Note 1.3: Vector Equations (Post)

Note 1.4: The Matrix Equation Ax=b (Post)

Note 1.5: Solution Sets of Linear Systems (Post)

Note 1.7: Linear Independence (Post)

Note 1.8: Introduction to Linear Transformations (Post)

Note 1.9: The Matrix of a Linear Transformation (Post)

Note 2.1: Matrix Operations (Post)

Note 2.2: The Inverse of a Matrix (Post)

Note 2.3: Characterizations of Invertible Matrices (Post)

Note 2.8: Subspaces of R^n (Post)

Note 2.9: Dimension and Rank (Post)

Note 3.1: Introduction to Determinants (Post)

Note 3.2: Properties of Determinants (Post)

Note 5.1: Eigenvectors and Eigenvalues (Post)

Note 5.2: The Characteristic Equation (Post)

Note 5.3: Diagonalization (Post)

Note 6.1: Inner Product, Length, and Orthogonality (Post)

Note 6.2: Orthogonal Sets (Post)

Note 6.4: The Gram-Schmidt Process (Post)

Note 6.5: Least-Squares Problems (Post)

Note 6.6: Applications to Linear Models (Post)

Code 7.4: The Singular Value Decomposition and Image Compression

Quiz 1: System of Linear Equations / Row Reduction and Echelon Forms (Solution)

Quiz 2: Vector Equations / The Matrix Equation Ax=b / Solution Sets of Linear Systems (Solution)

Quiz 3: Subspaces of R^n / Dimension and Rank (Solution)

Quiz 4: Eigenvectors and Eigenvalues / The Characteristic Equation (Solution)

Quiz 5: Diagonalization / Inner Product, Length, and Orthogonality / Orthogonal Sets (Solution)

Exam 1: From Sec 1.1 to Sec 1.9 (Solution)

Exam 2: Sec 2.1, 2.2, 2.3, 2.8, 2.9, 3.1, and 3.2 (Solution)

Exam 3: Sec 5.1, 5.2, 5.3, 6.1, 6.2, 6.4, and 6.5 (Solution)