If A=`[[i,-i],[-i,i]]` B=`[[1,-1],[-1,1]]` and if` A^(2)=alpha B`,`alpha` in` R^(*)` then the numerical value of `(alpha)/(32)`is

" If "A=[[i,-i],[-i,i]],B=[[1,-1],[-1,1]]" and if "A^8=alpha B,alpha in R" then the numerical value of "(alpha)/(32)" is "

If S={(alpha+i)/(alpha-i),alpha in R} then the S lies on

If A=[(1,-alpha),(alpha,beta)] and A A^T=I .Then find the value of alpha and beta

If z=(1+i tan alpha)^(1+i) , then find the magnitude of Z.

If pi/2

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

If A=[{:(alpha,0),(1,1)] and B=[{:(1,0),(2,1):}] such that A^(2)=B then what is the value of alpha ?

If A=[[2,3],[1,4]] and if (A+I)^(-1)=alpha A+beta I then (alpha,beta)= ? (where I is identity matrix and alpha,beta in R

Find the amplitude of sin alpha+i(1-cos alpha)