Chapter 2: Q34E (page 126)
Find\({{\bf{A}}^{\bf{3}}}\)if
(a) \({\bf{A = }}\left\{ {\bf{a}} \right\}\)
(b) \({\bf{A = }}\left\{ {{\bf{0,a}}} \right\}\)
Short Answer
(a) \({A^3} = \left\{ {\left( {a,a,a} \right)} \right\}\)
(b) \({A^2} = \left\{ {\left( {0,0,0} \right),\left( {a,0,0} \right),(0,a,0),(0,0,a),(0,a,a),(a,a,a),(a,a,0),(a,0,a)} \right\}\)