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Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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fundamental operation on complex numbers, complex number as ordered pair of real numbers and special subse... hold. - Commutative Law for Addition \[z+w=w+z\nonumber\] - Additive Identity \[z+0=z\nonumber \] - Existence of Additive Inverse \[\begin{array}{l} \mbox{For e... f } z=a+bi, \mbox{ then } -z=-a-bi. \end{array}\nonumber\] - Associative Law for Addition \[\left( z+w\rig
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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)** Determine whether or not the set of rational number form groups with respect to $\times$. **Solutio... n set $\mathbb{Q}$. Therefore the set of rational number is not a group w.r.t to “$\times $”. **Question... i)** Determine whether or not the set of rational number form groups with respect to $+$. **Solution** ... \mathbb{Q}$ under $+$ because sum of two rational number is also rational. b- Associative property holds