Week 14: Orthogonality, orthonormal bases, Gramm-Schmidt process
Schaum’s Outline of Theory and Problem of Linear Algebra. 6th Edition. Seymour Lipschutz. Mc-Graw Hill.
Chapter 7
Course Material
- Week 1: Matrices; Addition, Multiplication, Transpose. Types of matrices
- Week 2: Invertible matrices, complex matrices, elementary matrices and its applications
- Week 3: System of linear equations
- Week 4: Vector spaces and Subspace
- Week 5: linear combination and linear span
- Week 6: Linearly dependent and Linearly Independent, Wronskian Method
- Week 7: Basis and dimension
- Week 8: Quotient space, dimension of quotient space
- Week 09: Mid Term Exam
- Week 10: Change of basis
- Week 11: Similar matrices, Quadratic forms
- Week 12: Inner product space
- Week 13: Cauchy-Schwarz inequality, norm and distance
- Week 14: Orthogonality, orthonormal bases, Gramm-Schmidt process
- Week 15: Normed vector spaces
- Week 16: Block matrices, polynomial in matrices
- Week 17: Applications
- Week 18: Final Term Exam
- Chapters 18
- Department Physics
- Teacher
Iqrar Ansari
