added assignment notebooks

rust/numbrs/assets/determinantMatrix.c

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+#include <stdio.h>
+#include <stdlib.h>
+
+int m,n; // original matrix dimensions
+
+int det(int B[m][n]);
+
+int main() {
+    int determinant;
+    register int row,column;
+
+    printf("Enter rows and columns\n");
+    scanf("%d%d",&m,&n);
+
+    int A[m][n];
+
+    printf("Enter matrix elements\n");
+
+    for(row = 0; row < m; row++)
+        for(column = 0; column < n; column++)
+            scanf("%d",&A[row][column]);
+
+    determinant = det(A);
+
+    printf("determinant = %d \n",determinant);
+
+    return 0;
+}
+
+int det(int B[m][n]) {
+    int row_size = m;
+    int column_size = n;
+
+    if (row_size != column_size) {
+        printf("DimensionError: Operation Not Permitted \n");
+        exit(1);
+    }
+
+    else if (row_size == 1)
+        return (B[0][0]);
+
+    else if (row_size == 2)
+        return (B[0][0]*B[1][1] - B[1][0]*B[0][1]);
+
+    else {
+        int minor[row_size-1][column_size-1];
+        int row_minor, column_minor;
+        int firstrow_columnindex;
+        int sum = 0;
+
+        register int row,column;
+
+        // exclude first row and current column
+        for(firstrow_columnindex = 0; firstrow_columnindex < row_size;
+                firstrow_columnindex++) {
+
+            row_minor = 0;
+
+            for(row = 1; row < row_size; row++) {
+
+                column_minor = 0;
+
+                for(column = 0; column < column_size; column++) {
+                    if (column == firstrow_columnindex)
+                        continue;
+                    else
+                        minor[row_minor][column_minor] = B[row][column];
+
+                    column_minor++;
+                }
+
+                row_minor++;
+            }
+
+            m = row_minor;
+            n = column_minor;
+
+            if (firstrow_columnindex % 2 == 0)
+                sum += B[0][firstrow_columnindex] * det(minor);
+            else
+                sum -= B[0][firstrow_columnindex] * det(minor);
+
+        }
+
+        return sum;
+
+    }
+}