MATRIX_IN_C

Overview

This C program provides a comprehensive set of functions to perform various operations on matrices. The program uses a custom-defined Matrix structure and supports operations on matrices of different orders.

Features

• Matrix Operations: Addition, subtraction, multiplication, transpose, determinant, inversion, and more.
• Symmetry Check: Determine if a matrix is symmetric.
• Trace Calculation: Calculate the trace of a square matrix.
• Identity Matrix: Generate an identity matrix of a given order.
• Scalar Multiplication: Multiply a matrix by a scalar.
• Random Matrix Generation: Generate a matrix with random values within a specified range.
• Minor, Cofactor, and Adjoint Matrices: Functions for minor, cofactor, and adjoint operations.

Getting Started

To use the matrix operations in your C program:

1. Include the matrix.h header file in your source file.
2. Create matrices using the mat_alloc function.
3. Set the random seed generator to the current time.
4. View the matrix using view function.
5. Perform various operations on matrices using the provided functions.

#include "matrix.h"

int main(void)
{
    // Example usage
    time_t t;               // seed Randomise function
    srand(t);

    // Allocate matrices and randomise the matrix
    Matrix *c = mat_alloc(3, 3);
    mat_randf(c, 1, 10);
    view(c, 2);

    Matrix *d = mat_alloc(3, 3);
    mat_randf(d, 10, 100);
    view(d, 2);

    // Operations on matrices
    view(aug(c, d), 2);
    view(identity(4), 1);
    view(var(c, 2), 0);
    view(mat_mul(c, d), 1);
    view(mat_add(c, d), 1);
    view(mat_sub(c, d), 1);
    view(mat_cof(c), 1);
    view(mat_mul(inv(d), d), 0);
    view(sum(c, 2), 1);
    view(mean(c, 1), 1);
    view(std(c, 2), 0);
    view(var(c, 0), 0);

    printf("Mean Deviation: %lf\n", mean_dev(c));
    printf("Det(A) & Det(B): %f , %f \n", det(c), det(d));
    printf("SQUARE ? %d\n", isSquareMatrix(c));
    printf("SYM ? %d\n", isSym(c));
    return 0;
}

Functions

Function Name	Description
mat_alloc	Allocate memory for a matrix.
mat_populate	Populate a matrix with data.
mat_rand	Randomizes values in a matrix within a range.
mat_add, mat_sub, mat_mul	Arithmetic operations for matrices.
isSquareMatrix	Check if a matrix is square.
isEqual	Check if two matrices are equal.
transpose	Transpose a matrix.
isSym	Check if a matrix is symmetric.
clear	Set all elements of a matrix to 0.
view	Print a matrix.
randomize	Fill a matrix with random values.
det	Calculate the determinant of a square matrix.
mat_minor	Generate a matrix of minors for each element.
cof and mat_cof	Calculate the cofactor of a single element and the cofactor matrix.
adj	Calculate the adjoint of a matrix.
inv	Calculate the inverse of a square matrix.
trace	Calculate the trace of a square matrix.
null_mat	Generate a matrix filled with zeros.
fill	Fill a matrix with a specified element.
diag	Create a diagonal matrix from a given array.
identity	Generate an identity matrix of a given order.
mat_mul_k	Multiply a matrix by a scalar.
sum	Calculate the sum of all elements in a matrix.
mean	Calculate mean across different axes.
mean_dev	Calculate mean deviation of a matrix.

Error Handling

Macros (HANDLE_ERROR, HANDLE_ERROR_EN, and HANDLE_ERROR_MSG) efficiently handle errors during matrix operations.

Acknowledgments

• Author: Samarth Sanjay Pyati
• Version: 1.3 (12/2/24)