C Program to find the

Inverse of a Matrix. To find the Matrix Inverse, matrix should be a square matrix and

Matrix Determinant is should not Equal to Zero. if A is a Square matrix and |A|!=0, then AA’=I (I Means

Identity Matrix). Read more about

C Programming Language .
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#include<stdio.h>

#include<math.h>

float detrminant(float[][], float);

void cofactors(float[][], float);

void trans(float[][], float[][], float);

main() {

float a[25][25], n, d;

int i, j;

printf("Enter the order of the matrix:n");

scanf("%f", &n);

printf("Enter the elemnts into the matrix:n");

for (i = 0; i < n; i++) {

for (j = 0; j < n; j++) {

scanf("%f", &a[i][j]);

}

}

d = detrminant(a, n);

printf("nTHE DETERMINANT IS=%2f", d);

if (d == 0)

printf("nMATRIX IS NOT INVERSIBLEn");

else

cofactors(a, n);

}

float detrminant(float a[25][25], float k) {

float s = 1, det = 0, b[25][25];

int i, j, m, n, c;

if (k == 1) {

return (a[0][0]);

} else {

det = 0;

for (c = 0; c < k; c++) {

m = 0;

n = 0;

for (i = 0; i < k; i++) {

for (j = 0; j < k; j++) {

b[i][j] = 0;

if (i != 0 && j != c) {

b[m][n] = a[i][j];

if (n < (k - 2))

n++;

else {

n = 0;

m++;

}

}

}

}

det = det + s * (a[0][c] * detrminant(b, k - 1));

s = -1 * s;

}

}

return (det);

}

void cofactors(float num[25][25], float f) {

float b[25][25], fac[25][25];

int p, q, m, n, i, j;

for (q = 0; q < f; q++) {

for (p = 0; p < f; p++) {

m = 0;

n = 0;

for (i = 0; i < f; i++) {

for (j = 0; j < f; j++) {

b[i][j] = 0;

if (i != q && j != p) {

b[m][n] = num[i][j];

if (n < (f - 2))

n++;

else {

n = 0;

m++;

}

}

}

}

fac[q][p] = pow(-1, q + p) * detrminant(b, f - 1);

}

}

trans(num, fac, f);

}

void trans(float num[25][25], float fac[25][25], float r)

{

int i, j;

float b[25][25], inv[25][25], d;

for (i = 0; i < r; i++) {

for (j = 0; j < r; j++) {

b[i][j] = fac[j][i];

}

}

d = detrminant(num, r);

inv[i][j] = 0;

for (i = 0; i < r; i++) {

for (j = 0; j < r; j++) {

inv[i][j] = b[i][j] / d;

}

}

printf("nTHE INVERSE OF THE MATRIX:n");

for (i = 0; i < r; i++) {

for (j = 0; j < r; j++) {

printf("t%2f", inv[i][j]);

}

printf("n");

}

}

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