'calloc' on bidimensional array doesn't initialize properly

Question

I am trying to define a function to return a square matrix (NxN) in C language:

#define true 1
#define false 0
typedef char bool;
typedef bool** Matrix;

Matrix matrix_alloc(int size)
{
  Matrix matrix = (bool **) malloc(sizeof(bool) * size);

  int i;
  for (i = 0; i < size; i++) {
    matrix[i] = (bool *) calloc(size, sizeof(bool));
  }

  return matrix;
}

void matrix_print(Matrix matrix, int size)
{
  int i, j;
  for (i = 0; i < size; i++) {
    for (j = 0; j < size; j++) {
      printf("%i ", matrix[i][j]);
    }
    printf("\n");
  }
}

However, it seems calloc() isn't initializing the "cells" with zero as expected. I was told calloc was safe for initialization, so I believe there is hole in my logics. Here is the output when running the two functions (e.g. to create a 9x9 matrix):

48 77 104 0 72 77 104 0 96
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0

Answer 1

Wrong size in allocation: matrix is a pointer to bool *, not to bool.

Avoid mistakes, size to the de-referenced pointer, not the type.

The cast is not needed in C, and should be omitted.

//                                  too small
// Matrix matrix = (bool **) malloc(sizeof(bool) * size);
Matrix matrix = malloc(sizeof *matrix * size);