deadslinger8184 deadslinger8184
  • 03-10-2019
  • Mathematics
contestada

For the set A = {0, {1}}, determine A2 = A * A

Respuesta :

steffaniasierrag
steffaniasierrag steffaniasierrag
  • 12-10-2019

Answer:

Assuming that you refer to [tex]A^2[/tex] as the Cartesian product of A with A, then remember that the cartesian product of two sets A and B is the set

[tex]A\times B=\{(a,b): a\in A, b\in B\}[/tex]

Then, if [tex]A=\{0,\{1\}\}[/tex],

[tex]A^2=A\times A=\{(0,0), (0,\{1\}),(\{1\},0),(\{1\},\{1\})\}[/tex]

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