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1. Consider the relation on A = {1, 2, 3, 4} with relation matrix:
Assume that the rows and columns of the matrix refer to the elements of A in the order 1, 2, 3, 4.
(a) Draw the digraph for the given partial order.
(b) Draw the Hasse Diagram for the partial order.
(c) How many total orders contain the given partial order as a subset?
If the ratios of the polynomial ax 3 +3bx 2 +3cx+d are in AP, Prove that 2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z
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Define symmetric, asymmetric and antisymmetric relations. Ans: Symmetric Relation A relation R illustrated on a set A is said to be a symmetric relation if for any x,
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Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying
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Larry purchased 3 pairs of pants for $24 each or have 5 shirts for $18 each. How much did Larry spend? Divide the miles through the time to find the rate; 3,060 ÷ 5 = 612 mph.
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