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#include <stdio.h>
#include <stdlib.h>
typedef enum errors{
NOT_EQUAL,
NOT_MULTIPLIABLE,
NOT_SQUARE,
ZERO_DET,
UNKNOWN
} error_t;
typedef struct matrix{
size_t rows;
size_t columns;
float **matrix;
} matrix_t;
// Handles all of the different possible errors
matrix_t matrixError(error_t error);
// Creates a rows x columns matrix;
matrix_t createMatrix(size_t rows, size_t columns);
// Fills the matrix with values provided by the user
void initializeMatrix(matrix_t *m);
// Returns true if the matrix is square, false otherwise
int isSquare(matrix_t m);
// Displays the given matrix
void displayMatrix(matrix_t m);
// Returns the identity matrix n x n
matrix_t identityMatrix(size_t n);
// Returns a matrix of the same size as "m" filled with the number "n"
matrix_t fillN(matrix_t m, float n);
// Adds a number to all the positions of the matrix and returns the result
matrix_t addN(matrix_t m, float n);
// Substracts a number from all the positions of the matrix and returns the result
matrix_t substractN(matrix_t m, float n);
// Adds two matrices together and returns the result
matrix_t addMatrices(matrix_t a, matrix_t b);
// Negates all of the positions of the matrix and returns the result
matrix_t negateMatrix(matrix_t m);
// Substracts matrix "b" from "a" and returns the result
matrix_t substractMatrices(matrix_t a, matrix_t b);
// Multiplies all of the positions of the matrix by "n" and returns the result
matrix_t multiplyByN(matrix_t m, float n);
// Divides all of the positions of the matrix by "n" and returns the result
matrix_t divideByN(matrix_t m, float n);
// Multiplies matrix "a" by "b" and returns the result
matrix_t multiplyMatrices(matrix_t a, matrix_t b);
// Divides matrix "a" by "b" and returns the result
matrix_t divideMatrices(matrix_t a, matrix_t b);
// Raises the matrix to the nth power and returns the result
matrix_t raiseMatrixToN(matrix_t m, int n);
// Creates a submatrix from "matrix" without the column "column" and row "row" of "matrix"
matrix_t createSubmatrix(matrix_t m, size_t row, size_t column);
// Returns the determinant of the given (square) matrix
int determinant(matrix_t m);
// Returns the cofactor matrix of the given matrix
matrix_t cofactor(matrix_t m);
// Returns the transpose matrix of the given matrix
matrix_t transpose(matrix_t m);
// Returns the adjugate matrix of the given matrix
matrix_t adjugate(matrix_t m);
// Returns the inverse matrix of the given matrix
matrix_t inverse(matrix_t m);
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