`|(a+1,a,a,a),(a,a+2,a,a),(a,a,a+3,a),(a,a,a,a+4)|=24(1+a/1+a/2+a/3+a/4)`

det [[a+1, a, a, aa, a+2, a, aa, a, a+3, aa, a, a, a+4]] = 24 (1+ (a)/(1) +(a)/(2)+(a)/(3)+(a)/(4))

Locate the points: (1,1),(1,2),(1,3),(1,4) (2, 1),(2,2),(2,3),(2,4)(1,3),(2,3),(3,3),(4,3)(1,4),(2,4),(3,4),(4,4)

If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

The rank of [(-1,2),(-2,4),(3,6)] is

If A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}, then (A xx B) uu (A xx C) = {(1, 3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5),(3,6)}

Let A = {1,2,3,4} and f : A to A satisfy f (1) =2, f(2)=3, f(3)=4, f (4)=1. Suppose g:A to A satisfies g (1) =3 and fog = gof , then g = (a).{(1,3), (2,1), (3,2), (4,4)} (b).{(1,3), (2,4),(3,1),(4,2)} (c).{(1,3),(2,2),(3,4),(4,3)} (d).{(1,3),(2,4),(3,2),(4,1)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then