Matrix Algebra And Computational Methods

AY2014/2015 Semester 2

Introduction to matrix algebra; Linear system of equations; Gauss elimination and solution types for Ax=b; Linear independence; Rank of matrix and solution type; Matrix inverse; Gauss-Jordan elimination; Determinant of matrix; Cramer?s rule; Inverse of matrix; Matrix norm and Matrix conditioning; Eigenvalues and Eigenvectors; Mathematical Modelling and Numerical Methods; Roots of Equations; Numerical Interpolation; Numerical Integration and Differentiation; Numerical Solution of Ordinary Differential Equations.