System Of Linear Equations.
Lecture No. 7&8:
In Week-4, We Will Learn About These Contents:
- Linear Equation.
- Linear System.
- Solution of Linear System.
- Matrix Notation of a Linear System.
- Rank of a Matrix by Reducing to Echelon Form.
- Permutation Matrix.
- System of Homogeneous Linear Equation.
- System of Non-Homogeneous Linear Equation.
- 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
