find the difference of the complex numbers:
`z_(1)=-3+2i and z_(2)=13-i`.

Answer

To find the difference of the complex numbers \( z_1 = -3 + 2i \) and \( z_2 = 13 - i \), we will subtract \( z_1 \) from \( z_2 \).

### Step-by-Step Solution:

1. **Write down the complex numbers:**
\[ z_1 = -3 + 2i \]
\[ z_2 = 13 - i \]

2. **Set up the subtraction:**
We need to calculate \( z_2 - z_1 \):
\[ z_2 - z_1 = (13 - i) - (-3 + 2i) \]

3. **Distribute the negative sign:**
\[ z_2 - z_1 = 13 - i + 3 - 2i \]

4. **Combine the real parts and the imaginary parts:**
- Real parts: \( 13 + 3 = 16 \)
- Imaginary parts: \( -i - 2i = -3i \)
\[ z_2 - z_1 = 16 - 3i \]

5. **Final result:**
The difference of the complex numbers is:
\[ z_2 - z_1 = 16 - 3i \]