If `A=[alpha0 1 1]a n dB=[1 0 5 1],` find the values of `alpha` for which `A^2=Bdot`

If {:A=[(alpha,0),(1,1)]andB=[(1,0),(5,1)]:} , then te value of alpha for which A^2=B , is

If A = [{:(alpha, 0), (1, 1):}] " and " B = [{:(1, 0), (5, 1):}] then value of alpha for which A^(2) = B , is

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Both the roots lie in (0, (1)/(2))

Let 4x^(2)-4(alpha-2)x + alpha-2=0(alpha in R) be a quadratic equation. Find the values of alpha for which Exactly one root lies in (0, (1)/(2))

If B = [{:(5, 2alpha, 1),(0, 2, 1),(alpha, 3, -1):}] is the inverse of a 3 xx 3 matrix A, then the sum of all values of alpha for which det (A) + 1 =0, is

If alpha is nonreal and alpha=(1)^((1)/(5)) then the find the value of 2^(|1+alpha+alpha^(2)+alpha^(-2)-alpha^(-2))-alpha^(-1)|

If alpha in (-(pi)/(2), 0) , then find the value of tan^(-1) (cot alpha) - cot^(-1) (tan alpha)

If alpha be a root of equation x^2+x+1=0 then find the vlaue of (alpha+ 1/alpha)+(alpha^2+1/alpha^2)^2+(alpha^3+1/alpha^3)^2+…+(alpha^6+1/alpha^6)^2