13. A= {1, 2}, B= {1, 3, 2} and C= {4, 2, 1} then show that A2 = B2ꓵC2 -
Advance Math Class 10 - Exercise: 1.2
ꓵ= {(1, 1), (1, 2), (2, 1), (2, 2)}
Therefore, = ꓵ
A= {1, 2},
B= {1, 3, 2}
C= {4, 2, 1}
= A×A
= {1, 2} × {1, 2}
= {(1, 1), (1, 2), (2, 1), (2, 2)}
= B×B
= {1, 3, 2} × {1, 3, 2}
= {(1, 1), (1, 3), (1, 2), (3, 1), (3, 3), (3,2}, (2, 1),
(2, 3), (2, 2)}
= C x C
= {4, 2, 1} × {4, 2, 1}
= {(4, 4), (4, 2),(4, 1), (2, 4), (2, 2), (2,1),
(1, 4), (1, 2), (1, 1)}
ꓵ= {(1, 1), (1, 2), (2, 1), (2, 2)}
Therefore, = ꓵ
Exercise: 1.2