Expression must have arithmetic type issue - c

Question

I need to multiply two square matrixes A and B 15x15.
Unfortunately, I'm getting this kind of error.
I know the problem is in pointers while calculating matrix C.
C[i][j] += *(A + k) * *(B + k)
I hope you can explain me what's wrong. I'm a beginner xD.
Thank you in advance.
#include <stdio.h>
#define N 15
#define _CRT_SECURE_NO_WARNINGS
int main() {
int A[N][N];
int B[N][N];
int C[N][N];
printf("Input matrix A.\n");
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("Enter your element:\n");
scanf_s("%d", &A[i][j]);
}
printf("\n");
}
printf("Input matrix B.\n");
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("Enter your element:\n");
scanf_s("%d", &B[i][j]);
}
printf("\n");
}
printf("Matrix A.\n");
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("%d\t", A[i][j]);
}
printf("\n");
}
printf("Matrix B.\n");
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("%d\t", B[i][j]);
}
printf("\n");
}
for (int i = 0; i < 15; i++) {
for (int j = 0; j < 15; j++) {
C[i][j] = 0;
for (int k = 0; k < 14; k++) {
C[i][j] += *(A + k) * *(B + k);
k++;
}
}
}
printf("Your result:\n");
printf("Matrix C.\n");
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("%d\t", C[i][j]);
}
printf("\n");
}
return 0;
}

Answer 1

The problem in the multiplication is that A+k and B+k have type int (*)[15] which means dereferencing it once only makes a pointer out of them; furthermore, you need to take row and column items individually, which means A[i][k] and B[k][j], right? (also, there's no point on using confusing syntax, as the underlying operation is exactly the same).
Here's a fixed and improved version:
#define _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#define N 15
/* Improvement 1 (type abstraction) */
typedef int NxN_int_matrix[N][N];
/* Improvement 2 (input function & wrapper) */
#define input_matrix(var) input_matrix_ex((var), #var)
static void input_matrix_ex(NxN_int_matrix dst, char *name)
{
printf("Input matrix %s.\n", name);
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
/* Improvement 3 (nicer prompt) */
printf("%s[%2d][%2d]: ", name, i, j);
fflush(stdout);
scanf_s("%d", &dst[i][j]);
}
}
printf("\n");
}
/* Improvement 4 (print function) */
#define print_matrix(var) print_matrix_ex(#var, (var))
static void print_matrix_ex(char *name, NxN_int_matrix M)
{
printf("Matrix %s.\n", name);
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
printf("%d\t", M[i][j]);
}
printf("\n");
}
}
/* Improvement 5 (move multiplication to a function too, and fix it) */
static void mult_matrix(NxN_int_matrix dst, NxN_int_matrix a, NxN_int_matrix b)
{
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
/* Improvement 6 (don't write out intermediate values) */
int tmp = 0;
for (int k = 0; k < N; k++)
tmp += a[i][k] * b[k][j];
dst[i][j] = tmp;
}
}
}
int main()
{
NxN_int_matrix A, B, C;
input_matrix(A);
input_matrix(B);
print_matrix(A);
print_matrix(B);
mult_matrix(C, A, B);
printf("Your result:\n");
print_matrix(C);
return 0;
}
/* Possible further improvements:
* - using a transposed B might make multiplication faster
*/