`12-[4+2+{3+1/2(1-1/3)}]=`

If [{:(9,-1,4),(-2,1,3),(1,2,-1):}]=A+[{:(1,2,-1),(0,4,9),(3,1,-2):}] , then find the matrix A .

Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5) ………. infty is:

If A=[0 1 2 1 2 3 3a1]a n d A_1=[1//2 12//12//-4 3c5//2-3//2 1//2] , then the values of a anti c are equal to 1,1 b. 1,-1 c. 1,2 d. -1,1

If A=[0 1 2 1 2 3 3a1]a n d A_1=[1//2 12//12//-4 3c5//2-3//2 1//2] , then the values of a anti c are equal to 1,1 b. 1,-1 c. 1,2 d. -1,1

If A = [(1,2),(3,4)] , then 2A^(-1)=

If A = [(1,2),(3,4)] , then 2A^(-1)=

Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3,1),(1,4),(4,1)}. Then R is

(1) / (1.2) + (1.3) / (1.2.3.4) + (1.3.5) / (1.2.3.4.5.6) + .... oo

Prove that, 1/(1.2)-1/(2.3)+1/(3.4)-.....=2log_e2-1