Week 08: Coordinates and change of basis, Linear transformation: Definition, examples and related results
Kolman B., Hill D. R., Introductory Linear Algebra, (Pearson/Prentice Hall 7th edition, 2001)
Page No. 294-302, 434-439
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Course Material
- Week 01: Introduction to vector spaces, examples and preliminary results
- Week 02: Linear combination of a set of vectors, Linear span of a set of vector space, properties and related results.
- Week 03: Linearly dependent set of vectors and Linearly independent set of vectors: Definition, examples and results
- Week 04: Subspace: Definition, examples and related results.
- Week 05: Basis of a vector space: Definition, examples and related results
- Week 06: Dimension of a vector space: Definition, examples and related results
- Week 07: Cosets, Quotient Spaces, dimension of quotient space, dimension of sum of subspaces
- Week 08: Coordinates and change of basis, Linear transformation: Definition, examples and related results
- Week 09: Mid Term Examination
- Week 10: Space of linear transformations and its dimension
- Week 12: Rank and Nullity of linear transformation, matrix of linear transformation
- Week 13: Inner Product Spaces
- Week 11: Dual Space and Annihilator of subspace
- Week 14: Orthonormal basis and orthogonal complements
- Week 15: Gramm-Schmidt process of orthogonalizations
- Week 16: Eigen values and eigen vectors
- Week 17: Similar matrices and diagonalization
- Week 18: Final Term Exams
- Chapters 18
- Department Mathematics
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Dr. Iram Iqbal
