Week 14: Null spaces and column space of linear transformation, Linearly independent sets and basis.
H. Anton, "Elementary Linear Algebra 11th Edition", Chris Rorres
Course Material
- Week 01: Introduction to system of linear equation, matrix form of system of linear equation.
- Week 02: Gaussian elimination method and Gauss-Jordan method.
- Week 03: Consistent and inconsistent systems.
- Week 04: Homogeneous system of equations.
- Week 05: Applications of Linear system.
- Week 06: Introduction to determinants, Geometric meaning of determinants.
- Week 07: Properties of determinants, Crammers rule.
- Week 08: Cofactor method for finding the inverse of a matrix.
- Week 09: Mid Term Exam
- Week 10: LU factorization.
- Week 11: Introduction to vector plane, Vector in RPn, Vector form of straight line.
- Week 12: Linear combinations, Geometrical interpretation of solution of Homogeneous and non-homogeneous equations.
- Week 13: Definition of vector spaces, subspaces, spanning set.
- Week 14: Null spaces and column space of linear transformation, Linearly independent sets and basis.
- Week 15: Basis for null space and kernal space, Dimension of a vector space.
- Week 16: Introduction to Eigen values and Eigen vectors, computing the Eigen values and properties of Eigen values.
- Week 17: Diagonalization, Applications of Eigen values.
- Week 18: Final Term
- Chapters 18
- Department Electrical Engineering
- Teacher
Mr. Bilal Iqbal
