Question

If = {a,b,c} and B= {r, s} Find
A x B and BxA and hence show that
AxB is not equal to BxA​

Answer 1

Given:

A = {a,b,c} and B = {r, s}

We have to find, A × B and B × A.

Show that A × B ≠ B × A.

Solution:

A × B = {a, b, c} × {r, s}

= {(a, r), (a, s), (b, r), (b, s), (c, r), (c, s)}

∴ A × B = {(a, r), (a, s), (b, r), (b, s), (c, r), (c, s)}

B × A = {r, s} × {a, b, c}

= {(r, a), (r, b), (r, c), (s, a), (s, b), (s, c)}

∴ B × A = {(r, a), (r, b), (r, c), (s, a), (s, b), (s, c)}

Also, A × B ≠ B × A, shown.