Week 5: Vector Spaces
Spaces of Vectors, the Null space of A: Solving Ax = 0. The Rank and the row reduced form, the Complete solution to Ax = B,
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Course Material
- Week 1: Introduction to Vectors
- Week 2: Vector Lengths and Dot Products, Matrices
- Week 3: Solving Linear Equations
- Week 4: Elimination by factorization
- Week 5: Vector Spaces
- Week 6: Basis and Dimension
- Week 7: Dimensions of the Four Sub-spaces.
- Week 8: Orthogonality
- Week 9: Mid term
- Week 10: Least Squares Approximations
- Week 11: Orthogonal Bases and Gram-Schmidt.
- Week 12: Determinants
- Week 13: cofactors Volume
- Week 14: Eigenvalues and Eigenvectors
- Week 15: Applications
- Week 16: Numerical Linear Algebra
- Week 17: Complex Vectors and Matrices
- Week 18: Final term paper
- Chapters 18
- Department CS & IT
- Teacher
Mr. Rana Safdar Ali
