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Evaluation of a Determinant

State True or...

Question

State True or False for the following statement:

If $A \times B = {(a, x), (a, y), (b, x), (b, y)}, then A = a, b, B = x, y$

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Solution

Use the definition of Cartesian product of
two non-empty sets

Given: $A \times B = {(a, x), (a, y), (b, x), (b, y)}$

$A = a, b$

$(A =$ set of first element of ordered pair in $A \times B)$

$B = x, y$

$(B =$ set of second element of ordered pair in $A \times B)$

Hence, the given statement is true

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Evaluation of a Determinant

Standard XII Mathematics

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