Curricula/Syllabi of BS Information Technology for Punjab University Affiliated Colleges
Course Title Linear Algebra
Course Code MS-252
Credit Hours 3
Category Math & Science Foundation
Prerequisite None
Co-Requisite None
Follow-up None
Linear Equations in Linear Algebra: Systems of Linear Equations, Row
Reduction and Echelon Forms, Vector Equations, The Matrix Equation Ax = b,
Solution Sets of Linear Systems, Applications of Linear Systems, Linear
Independence, Introduction to Linear Transformations, The Matrix of a Linear
Transformation, Linear Models in Business, Science, and Engineering. Matrix
Algebra: Matrix Operations, The Inverse of a Matrix, Characterizations of
Invertible Matrices, Partitioned Matrices, Matrix Factorizations, Applications to
Computer Graphics, Subspaces of Rn, Dimension and Rank. Determinants:
Introduction to Determinants, Properties of Determinants, Cramer’s Rule,
Volume, and Linear Transformations. Vector Spaces: Vector Spaces and
Subspaces, Null Spaces, Column Spaces, and Linear Transformations, Linearly
Independent Sets; Bases, Coordinate Systems, The Dimension of a Vector Space,
Course
Rank, Change of Basis. Eigenvalues and Eigenvectors: Eigenvectors and
Description
Eigenvalues, The Characteristic Equation, Diagonalization, Eigenvectors and
Linear Transformations, Complex Eigenvalues, Discrete Dynamical Systems.
Orthogonality and Least Squares: Inner Product, Length, and Orthogonality,
Orthogonal Sets, Orthogonal Projections, The Gram–Schmidt Process, Least-
Squares Problems, Applications to Linear Models, Inner Product Spaces,
Applications of Inner Product Spaces. Symmetric Matrices and Quadratic
Forms: Diagonalization of Symmetric Matrices, Quadratic Forms, Constrained
Optimization, The Singular Value Decomposition, Applications to Image
Processing and Statistics. The Geometry of Vector Spaces: Affine Combinations,
Affine Independence, Convex Combinations, Hyperplanes. Optimization: Matrix
Games, Linear Programming—Geometric Method, Linear Programming—
Simplex Method, Duality.
1. David C. Lay, Steven R. Lay, Judi J. McDonald, Linear Algebra and Its
Applications, 5th Edition, Pearson, 2015, ISBN-13: 978-0321982384, ISBN-
10: 032198238X.
Text Book(s) 2. Gilbert Strang, Introduction to Linear Algebra, 5th Edition, Wellesley-
Cambridge Press, 2016, ISBN-13: 978-0980232776, ISBN-10: 0980232775.
3. Howard Anton, Elementary Linear Algebra, 11th Edition, Wiley, 2013, ISBN-
13: 978-0470458211, ISBN-10: 0470458216.
1. Philip N. Klein, Coding the Matrix: Linear Algebra through Applications to
Computer Science, 1st Edition, Newtonian Press, 2013, ISBN-13: 978-
Reference 0615880990, ISBN-10: 0615880991.
Material
2. David Hill, David Zitarelli, Linear Algebra Labs with MATLAB, 3rd Edition,
Pearson, 2003, ISBN-13: 978-0131432741, ISBN-10: 0131432745.
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