DUAL SPACES
Course Material
- Vector spaces and Subspaces
- Bases and dimensions of vector spaces
- QUOTIENT SPACES
- CHANGE OF BASIS AND TRANSITION MATRICES
- LINEAR TRANSFORMATION AND MATRICES
- INNER PRODUCT SPACES AND ORTHOGONALITY
- ORTHOGONAL SUBSPACES
- RANK & NULLITY OF LINEAR TRANSFORMATION
- MID TERM EXAMS
- EIGEN VALUES AND EIGEN VECTORS
- CHARACTERISTICS EQUATIONS
- SIMILAR MATRICES
- DIAGONALIZATION OF MATRICES
- ORTHOGONAL & ORTHONORMAL MATRICES
- GRAMM SCHMIDT PROCESS OF ORTHOGONAIZATIONS
- DUAL SPACES
- ELIMINATION METHODS & SOLVING EQUATIONS FOR MATRICES
- FINAL TERM EXAMS
- Chapters 18
- Department Physics
- Teacher
Ms. Fakhra Nawaz
