Finding And Comparing Solutions For An Undetermined System Of Linear Equations Using Scilab: Minimum-Norm Solution And Consistency Analysis
M.Dhanalakshmi K.Bhanu Priya, Jyothi.G, Y.Anitha, V.Divya Rajaratnam, V.Teerthitejaswini, S.Chandan, Sk.Naziya, K.Bhanu Priya , Jyothi.G , Y.Anitha , V.Divya Rajaratnam , V.Teerthitejaswini , S.Chandan
Paper Contents
Abstract
This study investigates an undetermined system of linear equations represented by the matrix equation AXb , where the coefficient matrix A is given by A(1&2&3@4&5&6) and the right-hand side vector is b(14@32).The primary objectives include determining the minimum-norm solution through mathematical computations and obtaining a solution using the SCILAB command window. The minimum-norm solution is derived using the formula X_minA^T AA^T^(-1) b . Additionally, the system is solved in SCILAB through the backslash operator. The study aims to compare the three solutions obtained, shedding light on their consistency and potential uniqueness. The results contribute to understanding the applicability of numerical methods in solving undetermined systems of linear equations and their implications for real-world problem-solving scenarios.
Copyright
Copyright © 2023 M.Dhanalakshmi, K.Bhanu Priya, Jyothi.G, Y.Anitha, V.Divya Rajaratnam, V.Teerthitejaswini, S.Chandan, Sk.Naziya. This is an open access article distributed under the Creative Commons Attribution License.