MathProblemsBank

10.3.1 Operations with complex numbers

Problem: Complex numbers \( z_{1}, z_{2} \) are given. Find \[ z_{1}+z_{2}, z_{1}-z_{2}, z_{1} \cdot z_{2}, \frac{z_{1}}{z_{2}}, \] where \( z_{1}=2-3 i, z_{2}=5-4 i \).