Week 16: Linear transformations, reflections, projections, homotheties,kernel and image of a linear transformation
Anton H., Rorres C., Elementary Linear Algebra: Applications Version, 10th Edition, (John Wiley and sons, 2010.)
Page No: 462-474, 778-788
Course Material
- Week 01: Representation of linear equations in matrix form
- Week 02: Matrices, operations on matrices
- Week 03: Solution of linear system, Gauss-Jordan method
- Week 04: Determinants and their computation, Properties of Determinant
- Week 05: Introduction to vector spaces, examples and preliminary results
- Week 06: Subspace: Definition, examples and related results.
- Week 07: Linear combination of a set of vectors, Linear span of a set of vector space, properties and related results
- Week 08: Linearly independent set of vectors: Definition, examples and results
- Week 09: Mid Term Exam
- Week 10: Basis of a vector space: Definition, examples and related results
- Week 11: Dimension of a vector space: Definition, examples and related results
- Week 12: Coordinates and change of basis, Linear transformation: Definition, examples and related results
- Week 13: Null Space, basis for the solution space of homogeneous system, the rank of matrix and applications44
- Week 14: Eigen-values, eigenvectors and Theorem of Hamilton-Cayley, Diagonalization, Symmetric matrices
- Week 15: Inner product Spaces with properties, Orthogonal and orthonormal basis, Gram Schmidt proce6ss
- Week 16: Linear transformations, reflections, projections, homotheties,kernel and image of a linear transformation
- Week 17: Rank, nullity of linear transformation and the matrix of a linear transformation
- Week 18: Final Term Exam
- Chapters 18
- Department Mathematics
- Teacher
Ms. Asifa Ilyas
