A = {2,4,8} B= {3,6} find B x A
You asked:
Compute the cartesian product, given the definitions:
\[A = \left\{2, 4, 8\right\}, B = \left\{3, 6\right\}\]and an expression:
\[B \times A\]MathBot Answer:
Given the below definitions for sets:
\[A = \left\{2, 4, 8\right\}, B = \left\{3, 6\right\}\]Compute the result of the cross product:
\[B \times A = \left\{3, 6\right\} \times \left\{2, 4, 8\right\}\]The solution has a cardinality of 6.
\[\def\arraystretch{1.5} \begin{array}{c|ccc} \ & 2 & 4 & 8 \\ \hline\ 3 & \left( 3, \ 2\right) & \left( 3, \ 4\right) & \left( 3, \ 8\right) \\ \ 6 & \left( 6, \ 2\right) & \left( 6, \ 4\right) & \left( 6, \ 8\right) \\ \end{array}\]