in the matrix `a=[{:(2,5,19,-7),(35,-2,(5)/(2),12),(sqrt(3),1,-5,17):}],` write:
(i) the order of the matrix,
(ii) the number of elements ,
(iii) write the elements ,`a_(13),a_(21),a_(33),a_(24),a_(23).`

Explanation

To solve the given problem step by step, we will address each part of the question regarding the matrix \( A \).

Given matrix:
\[ A = \begin{pmatrix} 2 & 5 & 19 & -7 \\ 35 & -2 & \frac{5}{2} & 12 \\ \sqrt{3} & 1 & -5 & 17 \end{pmatrix} \]

### Step 1: Determine the order of the matrix
The order of a matrix is defined as the number of rows by the number of columns.

- **Rows**: The matrix has 3 rows.
- **Columns**: The matrix has 4 columns.

Thus, the order of the matrix \( A \) is:
\[ \text{Order of } A = 3 \times 4 \]

### Step 2: Calculate the number of elements in the matrix
The total number of elements in a matrix can be calculated by multiplying the number of rows by the number of columns.

\[ \text{Number of elements} = \text{Number of rows} \times \text{Number of columns} = 3 \times 4 = 12 \]

### Step 3: Identify specific elements of the matrix
We need to find the following elements:
- \( a_{1,3} \)
- \( a_{2,1} \)
- \( a_{3,3} \)
- \( a_{2,4} \)
- \( a_{3,2} \)

Now, we will find each of these elements:

1. **Finding \( a_{1,3} \)**:
- This refers to the element in the 1st row and 3rd column.
- From the matrix, \( a_{1,3} = 19 \).

2. **Finding \( a_{2,1} \)**:
- This refers to the element in the 2nd row and 1st column.
- From the matrix, \( a_{2,1} = 35 \).

3. **Finding \( a_{3,3} \)**:
- This refers to the element in the 3rd row and 3rd column.
- From the matrix, \( a_{3,3} = -5 \).

4. **Finding \( a_{2,4} \)**:
- This refers to the element in the 2nd row and 4th column.
- From the matrix, \( a_{2,4} = 12 \).

5. **Finding \( a_{3,2} \)**:
- This refers to the element in the 3rd row and 2nd column.
- From the matrix, \( a_{3,2} = 1 \).

### Summary of Results
- **Order of the matrix**: \( 3 \times 4 \)
- **Number of elements**: 12
- **Elements**:
- \( a_{1,3} = 19 \)
- \( a_{2,1} = 35 \)
- \( a_{3,3} = -5 \)
- \( a_{2,4} = 12 \)
- \( a_{3,2} = 1 \)