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- Exercise 1.1 (Solutions)
- or '$\times$'. **Solutions** Addition Table \[\begin{array}{|c|c|} \hline + & 0 \\ \hline 0 & 0 ... ure property w.r.t. '+'. Multiplication Table \[\begin{array}{|c|c|} \hline \times & 0 \\ \hline 0... or '$\times$'. **Solutions** Addition Table \[\begin{array}{|c|c|} \hline + & 1 \\ \hline 1 & 2 ... ure property w.r.t. '+'. Multiplication Table \[\begin{array}{|c|c|} \hline \times & 1 \\ \hline 1
- Exercise 1.2 (Solutions)
- lex numbers. **Solution** Let \(z,w,\) and \(v\) be complex numbers. Then the following properties ho... =z\nonumber \] - Existence of Additive Inverse \[\begin{array}{l} \mbox{For each} \; z\in \mathbb{C}, ... 4(iii)** Simplify: ${-i}^{19}$ **Solutions** \begin{align} {-i}^{19}& =[(-1)(i)] ^{19}=(-1)^{19}\... laystyle {{(-1)}^{-\frac{21}{2}}}$ **Solution** \begin{align} (-1)^{-\frac{21}{2}}&=\frac{1}{(-1)^\f