In the matrix $A = \begin{bmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt{3} & 1 & -5 & 17 \end{bmatrix}$,write:
$(i)$ The order of the matrix
$(ii)$ The number of elements
$(iii)$ The elements $a_{13}, a_{21}, a_{33}, a_{24}, a_{23}$

(N/A) $(i)$ In the given matrix,the number of rows is $3$ and the number of columns is $4$. Therefore,the order of the matrix is $3 \times 4$.
$(ii)$ Since the order of the matrix is $3 \times 4$,the total number of elements is $3 \times 4 = 12$.
$(iii)$ By identifying the position of each element in the matrix:
$a_{13} = 19$ (first row,third column)
$a_{21} = 35$ (second row,first column)
$a_{33} = -5$ (third row,third column)
$a_{24} = 12$ (second row,fourth column)
$a_{23} = \frac{5}{2}$ (second row,third column)