`P=[[(sqrt(3))/(2),(1)/(2)],[-(1)/(2),(sqrt(3))/(2)]]`and `A =[[1,1],[0,1]]` , `Q= PAP^T`and `P^TQ^(2020)P=[[alpha,gamma],[beta,alpha]]` then `alpha+beta+gamma`

If {:P=[(sqrt3/2,1/2),(1/2,sqrt3/2)],A=[(1,1),(0,1)]:}and Q=PAP^T," then" P^TQ^2015P , is

If alpha,beta. gamma are the roots of x^(3)+px^(2)+q=0 where q=0, ther Delta=[[(1)/(alpha),(1)/(gamma)(1)/(gamma),(1)/(gamma)(1)/(gamma),(1)/(alpha),(1)/(beta)(1)/(gamma),(1)/(alpha),(1)/(beta)]](A)alpha beta gamma(B)alpha+beta+gamma(C)0(D) none of these

|[1,alpha,alpha^3],[1,beta,beta^3],[1,gamma,gamma^3]|=(alpha-beta)(beta-gamma)(gamma-alpha)(alpha+ beta+gamma)

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If the roots of 4-3x+5x^2+x^3=0 are alpha,beta,gamma then the value of 1/alpha+1/beta+1/gamma= ________ .

If |(alpha^(2n),alpha^(2n+2),alpha^(2n+4)),(beta^(2n),beta^(2n+2),beta^(2n+4)),(gamma^(2n),gamma^(2n+2),gamma^(2n+4))|=((1)/(beta^(2))-(1)/(alpha^(2)))((1)/(gamma^(2))-(1)/(beta^(2)))((1)/(alpha^(2))-(1)/(gamma^(2))) {where alpha^(2), beta^(2) and gamma^(2) are al distinct}, then the value of n is equal to