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Exercise 2.8 (Solutions) @fsc-part1-ptb:sol:ch02
46 Hits, Last modified: 17 months ago
binary operation, semi-group, monoid, groups and abelian groups. These notes are based on the new Stud... # 1** Operation $\oplus$ performed on the two-member set $G=\{0,1\}$ is shown in the adjoining table. \[ \begin{array}{|c|c|c|} \hline \oplus & 0 & 1 \\ \h... the set $G$, under the given operation a group? Abelian or non-abelian? **Solutions**\\ (i) From the
Exercise 1.2 (Solutions) @fsc-part1-ptb:sol:ch01
32 Hits, Last modified: 17 months ago
The main topics of this exercise are complex numbers, real part and imaginary part of complex numbers, properties of the fundamental operation on complex numbers, complex number as ordered pair of real numbers and special subset of complex numbers. These notes
Exercise 1.1 (Solutions) @fsc-part1-ptb:sol:ch01
31 Hits, Last modified: 17 months ago
topics of this exercise are properties of real numbers, binary operation, addition and multiplication ... 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