Home
Class 12
MATHS
Let three matrices A = [[2,1],[4,1]],B=...

Let three matrices `A = [[2,1],[4,1]],B=[[3,4],[2,3]]and C= [[3,-4],[-2,3]],`
then tr `(A) + tr ((ABC)/2)+tr((A(BC)^(2))/4) + tr ((A(BC)^(3))/8) +...+infty` equals to

Promotional Banner

Similar Questions

Explore conceptually related problems

A=[[2,1],[4,1]]; B=[[3,4],[2,3]] & c=[[3,-4],[-2,3]], tr(A)+tr[(ABC)/2]+tr[ (A(BC)^2)/4]+tr[(A(BC)^2)/8]+.....oo is:

Consider three matrices A=[(2,1),(4,1)], B=[(3,4),(2,3)] and C=[(3,-4),(-2,3)]. Then ghe value of the sum tr(A)+tr((ABC))/2 +tr((ABC)^2)/4+tr((ABC)^3)/2+.......+oo is (A) 6 (B) 9 (C) 12 (D) none of these

consider three matrix A=[[2 , 1] , [4 , 1]] , B=[[3 , 4] , [2 , 3]] , C=[[3 , -4] , [-2 , 3]] then the value of sum of tr(A)+tr((ABC)/2)+tr((A(BC)^2)/4)............

Let three matrices A=[2 1 4 1]; B=[3 4 2 3]a n dC=[3-4-2 3], then 6 (b) 9 (c) 12 (d) None of these

Let A = [(7,5),(4,8)] ,B= [(2,3),(3,5)] and C= [(5,-3),(-3,2)] then sum_(k=0)^(oo) (1)/(3^(k)) tr { A(BC)^(k)} = _____

Let A=[[7,5],[4,8]] , B=[[4,3],[7,5]] and C=[[-5,3],[7,-4]] if Tr(S) denotes the trace of a square matrix S then sum_(k=0)^(oo)(1)/(3^(k))Tr{A(BC)^(k)}=

If A is a skew-symmetric matrix of order 2 and B, C are matrices [[1,4],[2,9]],[[9,-4],[-2,1]] respectively, then A^(3) (BC) + A^(5) (B^(2)C^(2)) + A^(7) (B^(3) C^(3)) + ... + A^(2n+1) (B^(n) C^(n)), is

If A=[(3,-4),(1,-1)] then find tr. (A^(2012)) .