If `a+1/a=3` then `a^2+1/a^2=`

If a+ (1)/( a) = 3 , find : a^2 + (1)/(a^2)

1 + 1/3 + (1.3)/(1.2) .(1)/(3^2) + (1.3.5.)/(1.2.3).(1)/(3^3) + ……oo =

Using properties of determinants, prove that 3 2 (a 1) 3 3 1 2a 1 a 2 1 a 2a 2a

If 1/1^3 + (1+2)/(1^3+2^3)+(1+2+3)/(1^3+2^3+3^3) +.......n terms then lim_(n->oo) [S_n]

If P=[[1,2,-3] , [3,-1,2] , [-2,1,3]], Q=[[2,3,1] ,[3,1,2] , [1,2,3]] then find the matrix R such that P+Q+R is a zero matrix

Evaluate : 1/2 +1/3 times 1/3 div 2/3 - 1/2 times [ 1/3 + { 1/2 - ( 2/3 + 1/2 + 1/3 ) } ]

Find the value of ( 7 1/5 - 3 2/3 )/( 2 + 1/( 2 + 1/2 ) + 1

If A=[[-1,(3)/(2)],[-(1)/(2),(1)/(2)]] then A^(2) is equal to

Value of y = 1 - 1/2 + 1/4 - 1/8 --------- ∞ (1) 2/3 ( 2 ) 2 ( 3 ) 1/2 ( 4 ) 3/2