Science:Math Exam Resources/Courses/MATH152/April 2022/Question A16/Statement

Solve the system of equations corresponding to the augmented matrix

$$\left[{\begin{array}{cc|c}1&i&2\\-i&2&1\end{array}}\right].$$

You may assume that the unknown variables are ${\textstyle z_{1}}$, ${\textstyle z_{2}}$. Simplify your final answers ${\textstyle z_{1}}$, ${\textstyle z_{2}}$ to the form ${\textstyle a+bi}$.