Week 13: Linear algebra for functions
Linear Algebra by David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron (Chapter 1, Page No. 15)
Elementary Linear Algebra and Its Applications by Howard Anton and Chris Rorres, 11th Edition. (Chapter 8. Linear Transformation)
Course Material
- 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
- Chapters 18
- Department CS & IT
- Teacher
Iqrar Ansari
