10.3.42 Operations with complex numbers
condition: Solve a system of equations in complex numbers. \[ \left\{\begin{array}{l} (2+i) z_{1}+(3-i) z_{2}+(3+i) z_{3}=5+2 i \\ i z_{1}+(i+3) z_{2}+(i-6) z_{3}=4-3 i \\ -3 z_{1}+(4-i) z_{2}+(2 i-3) z_{3}=2+i \end{array}\right. \]
Operations with complex numbers, their algebraic, trigonometric and exponential forms. Derivatives of functions, finding complex roots of polynomials, solving equations in complex numbers.