(iii)[k(A-B)]'=

If A=[(3, sqrt(3), 2),(4,2,0)] and B=[(2,-1,2),(1,2,4)] , verify that (i) (A')'=A, (ii) (A+B)'=A'+B' , (iii) (kB)'=kB' , where k is any constant.

If A=[(3, sqrt(3), 2),(4,2,0)] and B=[(2,-1,2),(1,2,4)] , verify that (i) (A')'=A, (ii) (A+B)'=A'+B' , (iii) (kB)'=kB' , where k is any constant.

If A=[(3, sqrt(3), 2),(4,2,0)] and B=[(2,-1,2),(1,2,4)] , verify that (i) (A')'=A, (ii) (A+B)'=A'+B' , (iii) (kB)'=kB' , where k is any constant.

If A=[(3,sqrt(3),2),(4,2,0)] and B=[(2,-1,2),(1,2,4)] then verify that : (i) (A')'=A (ii) (A+B)'=A'+B' (iii) (kB)'=kB' , where k is any constant.

If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4]] , verify that i. (A^')^'=A ii. (A+B)^'=A^'+B^' iii. (k B)^'=k B^' , where k is any constant.

If A=[3sqrt(3)2 4 20] and B=[2-1 2 124] , verify that(i) (Aprime)prime=A (ii) (A+B)prime=Aprime+Bprime (iii) (k B)prime=k Bprime where k is any constant.

Study the following information carefully to answer these questions. (i) 'A$B' means 'A is mother of B' (ii) 'A # B' means ' A is the father of B' (iii) 'A @ B' means 'A is the husband of B' (iv) 'A % B' means' A is daughter of B' If G$M@K, how is K related to G?

Find vec(A).vec(b) when (i) vec(a)=hat(i)-2hat(j)+hat(k) and vec(b)=3 hat(i)-4 hat(j)-2 hat(k) (ii) vec(a)=hat(i)+2hat(j)+3hat(k) and vec(b)=-2hat(j)+4hat(k) (iii) vec(a)=hat(i)-hat(j)+5hat(k) and vec(b)=3 hat(i)-2 hat(k)

Find the angle between the vectors vec(a) and vec(b) , when (i) vec(a)=hat(i)-2hat(j)+3 hat(k) and vec(b)=3hat(i)-2hat(j)+hat(k) (ii) vec(a)=3 hat(i)+hat(j)+2hat(k) and vec(b)=2hat(i)-2hat(j)+4 hat(k) (iii) vec(a)=hat(i)-hat(j) and vec(b)=hat(j)+hat(k) .

A firm has a marginal revenue function given MR=(a)/(x+b)-c ,where x is the output a, b, c are constants. Then demand function is given by p=(k)/(x)log((x+b)/(b))-c , where k is (i) a (ii) c (iii) 1 (iv) -1