Matrix Operations

This C++ project features a Matrix class designed for handling 2D matrices of floating-point numbers. The class supports various operations and custom memory management, including matrix addition, subtraction, multiplication, and more.

Features

• Custom Memory Management:

  • Implement custom memory allocation and deallocation.
  • Overload new and delete operators.

• Matrix Operations:

  • Arithmetic Operators: Overload +, -, * for matrix operations.
  • Scalar Multiplication: Implemented using the * operator.
  • Matrix Inversion: Using Gauss-Jordan elimination.
  • Determinant Calculation: Using LU decomposition.
  • Input/Output Operators: Overload >>, << for matrix I/O.
  • Comparison Operators: Overload ==, != for equality checks.
  • Element Access: Overload () for accessing and modifying elements with boundary checking.
  • Unary Negation: Overload - to negate all matrix elements.

• Additional Features:

  • Implement functions for matrix transpose, inverse, and eigenvalues.

• File Handling:

  • Store matrix results in a text file.
  • Reload matrices from the text file upon program restart.

Sample Usage

Matrix m1(3, 3); // Create a 3x3 matrix
Matrix m2(3, 3); // Create another 3x3 matrix

cin >> m1; // Input matrix
m2 = m1 + m2; // Add matrices
cout << m2; // Output matrix

Matrix m3 = m1 * 2.0; // Scalar multiplication
Matrix m4 = m1 * m2; // Matrix multiplication

Matrix m5 = m1.inverse(); // Matrix inversion
double det = m1.determinant(); // Determinant calculation

// Save matrix to file
m1.saveToFile("matrix.txt");

// Load matrix from file
Matrix m6;
m6.loadFromFile("matrix.txt");