Advanced Calculator

This is a simple console-based calculator program written in C++ that offers four main functionalities:

1. Synthetic Division
2. Matrix Solution using Gauss-Jordan Elimination
3. Matrix Addition
4. Matrix Multiplication

Table of Contents

• Features
• Installation
• Usage
• Examples
• Contributing
• License

Features

• Synthetic Division: Evaluate polynomial division using synthetic division.
• Gauss-Jordan Elimination: Solve systems of linear equations using the Gauss-Jordan elimination method.
• Matrix Addition: Add two matrices of size up to 100x100.
• Matrix Multiplication: Multiply two matrices, ensuring the number of columns in the first matrix equals the number of rows in the second matrix.

Installation

1. Compile the Code Use any C++ compiler to compile the code. For example, using g++:

   g++ -o calculator calculator.cpp

2. Run the Executable

   ./calculator

Usage

Upon running the program, you will be prompted to choose one of the four operations. Enter the corresponding number to select an operation and follow the on-screen instructions.

Menu Options

1. Synthetic Division:

   • Enter the number of coefficients.
   • Enter the coefficients.
   • Enter the root to evaluate.

2. Gauss-Jordan Elimination:

   • Enter the number of unknowns.
   • Enter the coefficients of the augmented matrix.

3. Matrix Addition:

   • Enter the number of rows and columns for the matrices.
   • Enter the elements of the first matrix.
   • Enter the elements of the second matrix.
   • The program will output the sum of the matrices.

4. Matrix Multiplication:

   • Enter the number of rows and columns for the first matrix.
   • Enter the number of rows and columns for the second matrix.
   • Enter the elements of the first matrix.
   • Enter the elements of the second matrix.
   • The program will output the product of the matrices.

Examples

Synthetic Division

Synthetic Division
Enter number of coefficients
3
Enter coefficients (3)
2 3 4
Enter root to evaluate
1
Output: 2 5 9

Gauss-Jordan Elimination

Matrix Solution by Gauss Jordan
Enter number of unknowns:
3
Enter the coefficients of the matrix:
a[1][1]= 1
a[1][2]= 2
a[1][3]= 3
a[1][4]= 4
a[2][1]= 5
a[2][2]= 6
a[2][3]= 7
a[2][4]= 8
a[3][1]= 9
a[3][2]= 10
a[3][3]= 11
a[3][4]= 12
Solution:
x[1] = -1.000
x[2] = 1.000
x[3] = 0.000

Matrix Addition

Enter number of rows (between 1 and 100): 2
Enter number of columns (between 1 and 100): 2

Enter elements of 1st matrix:
Enter element a11 : 1
Enter element a12 : 2
Enter element a21 : 3
Enter element a22 : 4

Enter elements of 2nd matrix:
Enter element b11 : 5
Enter element b12 : 6
Enter element b21 : 7
Enter element b22 : 8

Sum of the two matrices is:
6 8
10 12

Matrix Multiplication

Enter rows and columns for the first matrix: 2 3
Enter rows and columns for the second matrix: 3 2

Enter elements of matrix 1:
Enter element a11 : 1
Enter element a12 : 2
Enter element a13 : 3
Enter element a21 : 4
Enter element a22 : 5
Enter element a23 : 6

Enter elements of matrix 2:
Enter element b11 : 7
Enter element b12 : 8
Enter element b21 : 9
Enter element b22 : 10
Enter element b31 : 11
Enter element b32 : 12

Output Matrix:
 58 64
 139 154

Contributing

Contributions are welcome! Please fork the repository and create a pull request with your changes. Ensure your code adheres to the existing style and add tests for any new features or bug fixes.

License

This project is licensed under the MIT License. See the LICENSE file for more details.