[((1+i)^(2011))/((1-i)^(2009))=],[(1)-1quad (2)1quad (3)2quad (4)-2]

((1+i)/(1-i))^4+((1-i)/(1+i))^4=

((1+i)/(1-i))^(4)+((1-i)/(1+i))^(4)=

1+(1+i)+(1+i)^(2)+(1+i)^(3)=

if x+(1)/(x)=1 then x^(2009)+(1)/(x^(2009))

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question:If A=[(1,1),(0,1)] and P is a orthogonal martix and B=PAP^T, P^TB^2009 P= (A) [(1,2009),(0,1)] (B) [(1,2009),(2009,1)] (C) [(1,0),(2009,1)] (D) [(1,0),(0,1)]

A square matrix A is said to be orthogonal if A^T A=I If A is a sqaure matrix of order n and k is a scalar, then |kA|=K^n |A| Also |A^T|=|A| and for any two square matrix A d B of same order \AB|=|A||B| On the basis of abov einformation answer the following question:If A=[(1,1),(0,1)] and P is a orthogonal martix and B=PAP^T, P^TB^2009 P= (A) [(1,2009),(0,1)] (B) [(1,2009),(2009,1)] (C) [(1,0),(2009,1)] (D) [(1,0),(0,1)]

Let i^(2)=-1 , then (i^(10)-1/(i^(11)))+(i^(11)-1/(i^(12)))+(i^(12)-1/(i^(13)))+(i^(13)-1/(i^(14)))+(i^(14)+1/(i^(15))) is equal to a) -1+i b) -1-i c) 1+i d) -i

Given i=sqrt(-1), then the value of the sum (1)/(1+i)+(1)/(1-i)+(1)/(-1+i)+(1)/(-1-i)+(2)/(1+i)+(2)/(1-i)+(2)/(-1+i)+(2)/(-1-)