**Construction of the 3x3 Matrix A**

To construct a 3x3 matrix A with elements given by aij = i/j, we need to determine the value of each element based on its position in the matrix. Let's go step by step to construct the matrix:

1. **Determining the Value of a11 (First Row, First Column)**
In this case, a11 = 1/1 = 1.

2. **Determining the Value of a12 (First Row, Second Column)**
Here, a12 = 1/2 = 0.5.

3. **Determining the Value of a13 (First Row, Third Column)**
For a13, we have a13 = 1/3 = 0.33 (rounded to two decimal places).

4. **Determining the Value of a21 (Second Row, First Column)**
In this case, a21 = 2/1 = 2.

5. **Determining the Value of a22 (Second Row, Second Column)**
Here, a22 = 2/2 = 1.

6. **Determining the Value of a23 (Second Row, Third Column)**
For a23, we have a23 = 2/3 = 0.67 (rounded to two decimal places).

7. **Determining the Value of a31 (Third Row, First Column)**
In this case, a31 = 3/1 = 3.

8. **Determining the Value of a32 (Third Row, Second Column)**
Here, a32 = 3/2 = 1.5.

9. **Determining the Value of a33 (Third Row, Third Column)**
For a33, we have a33 = 3/3 = 1.

Therefore, the elements of the matrix A are as follows:

A = |1 0.5 0.33|
|2 1 0.67|
|3 1.5 1 |

The matrix A is a 3x3 matrix with elements determined by the formula aij = i/j, where i represents the row number and j represents the column number. Each element is evaluated based on its position, and the resulting values are placed in the corresponding positions within the matrix.