2 In this question you must show detailed reasoning.
Given that \(z _ { 1 } = 3 + 2 \mathrm { i }\) and \(z _ { 2 } = - 1 - \mathrm { i }\), find the following, giving each in the form \(a + b \mathrm { i }\).

1. \(\mathrm { z } _ { 1 } { } ^ { * } \mathrm { z } _ { 2 }\)
2. \(\frac { z _ { 1 } + 2 z _ { 2 } } { z _ { 2 } }\)