Question

Dados A={-2,3} e B={1,3,-1} determine A) A × B B) B × A C) A² D) B²

Answer 1

$</p><p>A \times B = \{ (x, y) | x \in A \text{ e } y \in B \}</p><p>$

a)

$</p><p>A \times B = \\ </p><p>= \{ (-2, 1), (-2, 3), (-2, -1), (3, 1), \\</p><p> (3, 3), (3, -1) \}</p><p>$

b)

$</p><p>B \times A = \\ </p><p>= \{ (1, -2), (1, 3), (3, -2), (3, 3), \\</p><p>(-1, -2), (-1, 3) \}</p><p>$

c)

$</p><p>A^2 = A \times A = \\ </p><p>= \{ (-2, -2), (-2, 3), (3, -2), (3, 3) \}</p><p>$

d)

$</p><p>B^2= B \times B = \\ </p><p>= \{ (1, 1), (1, 3), (1, -1), \\</p><p>(3, 1), (3, 3), (3, -1), \\</p><p>(-1, 1), (-1, 3), (-1, -1) \}</p><p>$