System of Linear Equations, Determinant, and Its Applications - IF2123 Linear and Geometric Algebra

Maintainer

  1. Rizky Abdillah Rasyid | 13521109
  2. Saddam Annais Shaquille | 13521121
  3. Hanif Muhammad Zhafran | 13521157

Overview

This program was made to fulfill the First Major Assignment of IF2123 Linear and Geometric Algebra Course. The programming language used by this project is Java.

This program can do several task involving Matrices and Linear Equations such as:

  1. Find solutions to a System of Linear Equation using Gauss Elimination method, Gauss-Jordan Elimination method, Inverse of a Matrix, and Cramer's Rule.
  2. Calculate determinant of a matrix using Row Reduction method and Cofactor Expansion method.
  3. Find an Inverse of a Matrix
  4. Find an equation and an estimated value in a case of Polinomial Interpolation, Bicubic Interpolation, and Multiple Linear Regression.
  5. Enlarge image to twice of its initial size using Bicubic Interpolation.

Contents

  1. bin folder contains Java bytecode (*.class) files.
  2. doc folder contains report of the project.
  3. lib folder contains the library required for this program (jar file).
  4. src folder contains source code for this program (.java files).
  5. test folder contains test cases for the program, including the output.
  6. Algeo01-21109.jar file, contains all classes in the program and the required library from the lib folder. You can use this file to run the program.

Running the Program

Execute the jar file in the parent directory.

java --enable-preview -jar Algeo01-21109.jar