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Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
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ble at MathCity.org <grid><col sm="6"> <panel> **Question 1** Verify the addition properties of complex num... left( w+v\right)\nonumber \] </panel> <panel> **Question 2** Verify the multiplication properties of the complex numbers. </panel> <panel> **Question 3** Verify the distributive law of complex numbers. </panel> <panel> **Question 4(i)** Simplify: $i^9$ **Solutions** $i^9$ $=
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
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le at MathCity.org <grid><col sm="6"> <panel> **Question 1(i)** Is the set $\{0\}$ has closure property w... \{0\}$ has closure property w.r.t. '$\times$'. **Question 1(ii)** Is the set $\{1\}$ has closure property ... $\{1\}$ has closure property w.r.t. '$\times$' **Question 1(iii)** Is the set $\{0,-1\}$ has closure prope... s not have closure property w.r.t. '$\times$'. **Question 1(iv)** Is the set $\{1,-1\}$ has closure proper
Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
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e at MathCity.org <grid><col sm="6"> <panel> **Question # 1** Operation $\oplus$ performed on the two-mem... aw so it is an abelian group. </panel> <panel> **Question # 2** The operation $\oplus$ as performed on the ... Hence commutative law holds. </panel> <panel> **Question # 3 (i)** Determine whether or not the set of ra... l number is not a group w.r.t to “$\times $”. **Question # 3 (ii)** Determine whether or not the set of ra