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If A={1, 2, 3, 4, 5} then the relation R...

If A={1, 2, 3, 4, 5} then the relation R={(1,1), (2, 2), (3, 3), (4, 4), (1, 2), (2,3)} is

A

reflexive

B

symmetric

C

transitive

D

none of these.

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Show that the relation R on the set {1,2,3) given by R={(1,1), (2, 2), (3, 3), (1, 2), (2, 3)) is reflexive but neither symmetric nor transitive.

If A={1, 2, 3, 4, 5} and R:ArarrA is {(1,2), (2,3), (4,5), (3,3)} then write R^-1:ArarrA .

If f:{1, 3, 4} to {1,2,5} and g:{1,2,5} to {1, 3} given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof.

Find the transpose of the matrix [{:(4,3,1),(1,-2,3),(4,5,-1):}] .

Find the product [{:(1,2,3),(2,3,4):}][{:(1,-2),(-2,3):}]

If the mappings f and g are given by f={(1,2),(3,5),(4,1) and g={(2,3),(5,1),(1,3)}, then write fog.

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