Question

If A={2,-2,3}andB={1,-4} then find A*B and B*A

Answer 1

Answer:

If A = { 2, –2, 3} and B = { 1, –4} then Find A x B, B x A and A x A.

Answer 2

A*B = {(2,1), (2, -4), (-2, 1), (-2, -4), (3, 1),(3, -4)} and B*A = {(1,2), (1,-2), (1,3), (-4,2),(-4,-2),(-4,3)}.

Given,

A={2,-2,3} andB={1,-4}

To Find,

A*B and B*A

Solution,

We can solve the question as follows:

The two sets are A = {2,-2,3} and B={1,-4}. We have to find A*B and B*A.

$A =$ {$2,-2,3$}

$B =$ {$1, -4$}

The ordered pairs in A*B will be:

$A*B =$ {$(2,1), (2, -4), (-2, 1), (-2, -4), (3, 1),(3, -4)$}

The ordered pairs in B*A will be:

$B*A =$ {$(1,2), (1,-2), (1,3), (-4,2),(-4,-2),(-4,3)$ }

Hence, A*B = {(2,1), (2, -4), (-2, 1), (-2, -4), (3, 1),(3, -4)} and B*A = {(1,2), (1,-2), (1,3), (-4,2),(-4,-2),(-4,3)}.

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