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Module 5

Module-5: Linear Algebra

Elementary row transformation of a matrix, Rank of a matrix. Consistency and Solution of system of
linear equations; Gauss-elimination method, Gauss-Jordan method and Approximate solution by
Gauss-Seidel method. Eigenvalues and Eigenvectors-Rayleigh’s power method to find the dominant
Eigenvalue and Eigenvector.
Self-Study: Solution of a system of equations by Gauss-Jacobi iterative method. The inverse of a square
matrix by Cayley- Hamilton theorem.