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- Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
- s: (i) Name the identity element if it exists? (ii) What is the inverse of 1? (iii) Is the set $G$... $. This show that $0$ is the identity element. (ii) Since $1+1=0$ (identity element) so the inverse ... table is a member of $G$ thus closure law holds. ii) $\oplus$ is associative in $G$. iii) Table show... t a group w.r.t to “$\times $”. **Question # 3 (ii)** Determine whether or not the set of rational n
- Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
- closure property w.r.t. '$\times$'. **Question 1(ii)** Is the set $\{1\}$ has closure property w.r.t... roperty:** Commutative property w.r.t. '+'. ---- (ii) $(a+1)+ \frac{3}{4}= a+(1+\frac{3}{4})$ **Prop... row 0<1$. **Property:** Additive property. ---- (ii) $-5<-4 \quad \Rightarrow 20>16$. **Property:** ... &= \frac{a+b}{c}=R.H.S \end{align} **Question 4(ii)** Prove the following rules of addition: $$\fra
- Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
- (i^2)^4 \cdot i$ $=1 \cdot i$ =$i$. **Question 4(ii)** Simplify: $i^{14}$ **Solutions** $i^{14}$ ... *Solutions** $\sqrt{-1}b= bi$ ---- **Question 5(ii)** Write $\sqrt{-5}$ in term of $i$ **Solution... rac{-4}{65},\frac{-7}{65} \right)$ **Question 14(ii) ** Find the multiplicative inverse of complex n... \right)\left( a-2ib \right)$ ---- **Question 15(ii) ** Factorize: ${9{a}^{2}}+16{{b}^{2}}$ **Solu