madhuharsha0912 madhuharsha0912
  • 07-04-2024
  • Mathematics
contestada

The Cartesian product A*A has 9 elements among which are found (-1, 0) and (0, 1) find the set A and the remaining elements of A*A

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Nummbee01 Nummbee01
  • 07-04-2024

Answer:

Set A = {-1, 0, 1}

Remaining elements of A × A = {(-1, -1), (-1, 1), (0, -1), (0, 0), (1, -1), (1, 0), (1, 1)}

Step-by-step explanation:

Since the Cartesian product A × A has 9 elements and contains (-1, 0) and (0, 1), the set A must have 3 elements.

The set A = {-1, 0, 1}

The remaining elements of A × A are the 7 other possible combinations of the 3 elements in A.

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