dados A = { 1,2,3} e B={ -1,4,5} determine: A) AXB B)BXA​

\[\left\{ \begin{matrix} A\times B = \{ (a_1,b_1),(a_1,b_2),(a_1,b_3),(a_2,b_1),(a_2,b_2),(a_2,b_3),(a_3,b_1),(a_3,b_2),(a_3,b_3) \} \\ B \times A = \{ (b_1,a_1),(b_1,a_2),(b_1,a_3),(b_2,a_1),(b_2,a_2),(b_2,a_3),(b_3,a_1),(b_3,a_2),(b_3,a_3) \} \end{matrix} \right.\]

A)

Substituindo \(a_1=1\), \(a_2=2\), \(a_3=3\), \(b_1=-1\), \(b_2=4\) e \(b_3=5\), o produto \(A\times B\) é:

\[\boxed{A\times B = \{ (1,-1),(1,4),(1,5),(2,-1),(2,4),(2,5),(3,-1),(3,4),(3,5) \}}\]

B)

Substituindo \(a_1=1\), \(a_2=2\), \(a_3=3\), \(b_1=-1\), \(b_2=4\) e \(b_3=5\), o produto \(B\times A\) é:

\[\boxed{B \times A = \{ (-1,1),(-1,2),(-1,3),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3) \}}\]