Chapter 9.3, Problem 9E

many nonzero entries does the matrix representing the relationRonA= {1, 2,3, ..., 100} consisting of the first 100 positive integers have ifRis

a) $\left\{\left(a,b\right)|a>b\right\}$?

b)

$\left\{\left(a,b\right)|a\ne b\right\}$?

c) $\left\{\left(a,b\right)|a=b+1\right\}$?

d) $\left\{\left(a,b\right)|a=1\right\}$?

e) $\left\{\left(a,b\right)|ab=1\right\}$?