Mathematics-1 for Mechanical Engineering stream Module 5

2022 Scheme  M1 for Mechanical Engineering stream BMATM101 Module 5 Notes (Download👇)

BMATM101 Module 5

Linear Algebra

Module 5

Introduction of linear algebra related to Mechanical engineering applications.
Elementary row transformationofa matrix, Rank of a matrix. Consistency and solution of a 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. Inverse of a square
matrix by Cayley- Hamilton theorem.

Applications of Linear Algebra: Network Analysis, Balancing equations.

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