COURSE OUTLINE MA210 - Linear Algebra

BS Computer Science (2nd year) Punjab University Course Outline:
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MA210 - Linear Algebra (Paper XI - 50 Marks)


Objective

The purpose of this course is to provide a solid foundation in Linear Algebra. It will enable the students to master the concepts and to know when and how to apply linear algebra. Applications are taken from such areas as Cryptography, Fractals, Chaos, Computer Graphics, Game of Strategy, Computer Tomography, Warps and Morphs. The Software MAT LAB will be used for the implementation of Linear Algebra. The following topics will be covered in this course: Introduction to Linear Algebra (History, differentiation between Matrix Algebra and Linear Algebra), Concept of a matrix with real entries, Operations of matrices (Addition, multiplication, scalar multiplication, trace, transpose), Detcnninant of a matrix and its properties. Singular and non-singular matrices, Row/Column elementary Operations defined on a matrix Inversion of a matrix (by elementary operations), Reduction of matrix into echelon and reduced echelon form by

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