PREV

NEXT

• Week 1: Introduction to Systems of Linear Equations and Matrices
• Week 2: LU-Factorization, Inversion method in matrices, Elementary matrices and a method for finding A^-1
• Week 3: Determinants by Cofactor Expansion, Evaluating Determinants by Row Reduction, Properties of Determinants
• Week 4: Vectors in 2-Space, 3-Space, and n-Space, Norm and Distance, Orthogonality, Dot Product, Cross Product
• Week 5: Vector Spaces and Subspaces
• Week 6: Linear combination, Linearly dependent and Linearly Independent
• Week 7: Coordinates and Basis, Dimension
• Week 8: Eigenvalues and Eigenvectors, Diagonalization.
• Week 09: Mid Term Exam
• Week 10: Complex vectors and matrices; complex numbers, Hermitian and Unitary matrices
• Week 11:  Row Space, Column Space, and Null Space
• Week 12: Rank, Nullity, and the Fundamental Matrix Spaces
• Week 13: Linear algebra for functions
• Week 14: Symmetric matrices, Positive Definite matrices, Singular Value Decomposition
• Week 15: Inner product space
• Week 16: Orthogonal bases and Gramm-Schmidt process
• Week 17: Applications; Markov matrices, matrices in engineering, graph and networks.
• Week 18: Final Term Exam