True or False
If `R = {(n,n^2):ninN}` is a relation on N, then range of R is N.

If R={(x,y):x+2y=8} is a relation on N write the range of R

If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

True or False : If A is any square matrix, then det (A^n) = (detA)^n where n is any natural number.

Let N be the set of all natural numbers and R be a relation in N defined by : R = {(a, b) : a is a factor of b} Show that R is reflexive and transitive.

True or False: int x^ndx=(x^(n+1))/(n+1)+C , where n is any integer.

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . What is the domain, co-domain and Range of R ?

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . Is this relation a function ?

If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN} , then X uu Y equals

If R is a relation in N xx N , show that the relation R defined by (a, b) R (c, d) if and only if ad = bc is an equivalence relation.