Dimensions of Four Subspaces.
In Week-8, We Will Learn About These Contents:
Lecture No.15:
- Row Space,
- Column Space,
- Null Space,
- Nuilty,
- Related Problems.
Lecture No. 16:
- Dimension of the Four Subspaces.
- 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
