input: Write a function to perform matrix multiplication on two given matrices. The function should return the resulting matrix after performing the multiplication. If the number of columns in the first matrix does not match the number of rows in the second matrix, the function should return an error message indicating that the matrices cannot be multiplied.
  
  
  def matrix_multiplication(A, B):
      rows_A = len(A)
      cols_A = len(A[0])
      rows_B = len(B)
      cols_B = len(B[0])
      
      if cols_A != rows_B:
          return "Error: Cannot multiply matrices due to incompatible dimensions."
      
      result = [[0 for _ in range(cols_B)] for _ in range(rows_A)]
      
      for i in range(rows_A):
          for j in range(cols_B):
              for k in range(cols_A):
                  result[i][j] += A[i][k] * B[k][j]
      
      return result
  
  # Test cases
  assert matrix_multiplication([[1, 2], [3, 4]], [[5, 6], [7, 8]]) == [[19, 22], [43, 50]]
  assert matrix_multiplication([[1, 2], [3, 4]], [[1, 2, 3], [4, 5, 6]]) == "Error: Cannot multiply matrices due to incompatible dimensions."
  assert matrix_multiplication([], []) == "Error: Cannot multiply matrices due to incompatible dimensions."
  
output: def matrix_multiplication(A, B):
      rows_A = len(A)
      cols_A = len(A[0]) if rows_A > 0 else 0
      rows_B = len(B)
      cols_B = len(B[0]) if rows_B > 0 else 0
      
      if cols_A != rows_B:
          return "Error: Cannot multiply matrices due to incompatible dimensions."
      
      result = [[0 for _ in range(cols_B)] for _ in range(rows_A)]
      
      for i in range(rows_A):
          for j in range(cols_B):
              for k in range(cols_A):
                  result[i][j] += A[i][k] * B[k][j]
      
      return result