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MTH101
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MTH201
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MTH202
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MTH301
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MTH302
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MTH501
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MTH501 - Linear Algebra
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Course Category: Mathematics
Course Level: Undergraduate
Credit Hours: 3
Pre-requisites: N/A
Systems of Linear Equations, Row Reduction and Echelon Forms, Vector Equations, The Matrix Equation, Solution Sets of Linear Systems, Linear Independence, Linear Transformations, The Matrix of a Linear Transformation, Matrix Algebra, Iterative Solutions of Linear Systems, Determinants, Cramer’s Rule and Linear Transformations, Vector Spaces and Subspaces, Null Spaces, Column Spaces, and Linear Transformations, Linearly Independent Sets, Bases, Coordinate System, Dimension of a Vector Space, Rank, Change of Basis, Applications to Difference Equations,Eigenvalues and Eigenvectors, The Characteristic Equation,Diagonalization, Eigenvectors and Linear Transformations, Complex Eigenvalues, Discrete Dynamical Systems, Applications to Differential Equations, Iterative Estimates for Eigenvalues, Inner Product, Orthogonal and Orthonormal set, Orthogonal Decomposition, Orthogonal basis, Gram-Schmidt Process, Orthonormal basis, Least Square Solution, Inner Product Space, Application of inner product spaces.
Course Instructor

Dr. Junaid Zaidi, Ph.d
University of Birmingham, England (UK)

Books

Linear Algebra and its Applications by David C. Lay
Introductory Linear Algebra
by Howard Anton and Chris Rorres
Introductory Linear Algebra with Applications by B. Kolman

Mathematical Methods
by S.M.Yusuf, Abdul Majeed, Muhammad Amin

Mathematical Techniques
by Dr.Karamat H.Dar, Irfan-ul-Haq, M.Ashraf Jajja


Linear Algebra Demystified
by David McMahon