Solving Linear Equations by Different Methods.
Lecture No. 9 & 10:
In Week-5, We Will Learn About These Contents:
- Elementory Row Operations.
- Eliminition Method.
- Substitution Method.
- Gauss-Elimination Method.
- Gauss-Jordan Elimination Method.
- Inverse of Matrix by Gauss-Jordan Elimnation Method.
- LU-Decomposition Method/Factorization Method.
- Related Problems.
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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
