Independence, Basis and Dimension.
In Week-7, We Will Learn About These Contents:
Lecture No.13:
- Linear Combination.
- Linear Span.
- Linear Independence/Dependence of Vectors.
- Related Problems.
Lecture No.14:
- Basis.
- Dimension.
- Finite Dimensional Vector Space.
- Infinite Dimensional Vector Space.
- Related Problems.
Course Material
- Introduction to Linear Algebra and Introduction to Vectors.
- Vector Lengths, Dot Products, Cross Product.
- Curve, Line, Matrices.
- System Of Linear Equations.
- Solving Linear Equations by Different Methods.
- Introduction to Vector Space and Subspace.
- Independence, Basis and Dimension.
- Dimensions of Four Subspaces.
- Mid-Term Exams.
- Orthogonality.
- Orthogonal Bases and Gram-Schmidt, Least Square Approximation.
- Determinants.
- Permutation and Volume.
- Eigenvalues and Eigenvectors.
- Applications.
- Numerical Linear Algebra.
- Complex Vectors and Matrices.
- Final-Term Exam.
- Chapters 18
- Department CS & IT
- Teacher
Memoona Nawaz
