Determinants.
In Week-11, We Will Learn About These Contents:
Lecture No. 21 & 22:
- Introduction to Determinants,
- Determinants of a Square Matrix,
- Minors and Cofactors,
- Properties of Determinants,
- Applications of Determinants,
- Area of Triangle,
- Condition of Collinearity of Three Points,
- Cramer's Rule,
- 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
