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- Question 2, Exercise 1.2
- of Question 2 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo... ion 2==== Use the algebraic properties of complex numbers to prove that $$ \left(z_{1} z_{2}\right)\left(z_... quired result. **Remark:** For any three complex numbers $z_1$, $z_2$ and $z_3$, we have $$z_1 (z_2 z_3) =... that the order in which we multiply three complex numbers doesn't matter; we will always end up with the sa
- Question 5, Exercise 1.2
- of Question 5 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo... tion 5==== If $z_1$ and $z_2$ are two any complex numbers then prove that $|z_1+z_2|^2-|z_1-z_2|^2=4Re(z_1)
- Question 3, Exercise 1.4
- of Question 3 of Exercise 1.4 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo... }\right). \end{align*} We can write these complex numbers in polar form as: \begin{align*} z_r=|z_r| e^{i\t
- Question 1, Exercise 1.1
- of Question 1 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 2, Exercise 1.1
- of Question 2 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 3, Exercise 1.1
- of Question 3 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 4, Exercise 1.1
- of Question 4 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 5, Exercise 1.1
- of Question 5 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 6, Exercise 1.1
- of Question 6 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 7, Exercise 1.1
- of Question 7 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 1, Exercise 1.2
- of Question 1 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 3, Exercise 1.2
- of Question 3 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 4, Exercise 1.2
- of Question 4 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 6, Exercise 1.2
- of Question 6 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo
- Question 7, Exercise 1.2
- of Question 7 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics fo