given that g:U--> V and f: V-->W where g and f are linear map,

which is always true and which might not be always true:

1.rank (f.g) less than or equal to rank(g)

2.rank(f.g) greater than or equal to rank (f)

3.nullity(f.g) grater than or equal to nullity(f)

4.nullity (f.g) less than or equal to nullity(g)

how do you go about doing such qns...