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- Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
- =&\dfrac{4}{29}+\dfrac{19}{29}i \end{align} Real part $=\dfrac{4}{29}$\\ Imaginary part $=\dfrac{19}{29}$ =====Question 7(ii)===== Separate into real and imaginary parts $\dfrac{{{\left... \ =&\dfrac{-3}{2}-\dfrac{1}{2}i\end{align} Real part $=\dfrac{-3}{2}$ \\ Imaginary part $=-\dfrac{1}{2}$ =====Question 7(iii)===== Separate into real and imaginary parts $\dfrac{1-i}{{{
- Unit 02: Matrices and Determinants (Solutions)
- ===== Unit 02: Matrices and Determinants (Solutions) ===== This is a second unit of the book Mathema... bers and $i=\sqrt{-1}$. * Recognize $a$ as real part of $z$ and $b$ as imaginary part of $z$. * Know condition for equality of complex numbers. * Carry ... conjugate of $z=a+ib$. * Define $|z| = \sqrt{a^2+b^2}$ as the absolute value or modulus of a compl
- Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
- ====== Question 8, Exercise 1.2 ====== Solutions of Question 8 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbo... ====Question 8(i)===== Show that $z+\overline{z}=2\operatorname{Re}\left( z \right)$. ====Solution==... ib \right)\\ &=a+ib+a-ib\\ &=2a\\ z+\overline{z}&=2\operatorname{Re}\left( z \right)\end{align} ====
- Unit 01: Complex Numbers (Solutions)
- rs and $i=\sqrt{-1}$. * Recognize $a$ as real part of $z$ and $b$ as imaginary part of $z$. * Know condition for equality of complex numbers. * Ca... onjugate of $z=a+ib$. * Define $|z| = \sqrt{a^2+b^2}$ as the absolute value or modulus of a complex number $z=a+ib$ * Describe algebraic propert