If `A=[[alpha,0],[ 1, 1]] and B=[[1, 0],[ 5, 1]],` find the values of `alpha` for which `A^2=Bdot`

If A=[(alpha,0), (1, 1)]a n d B=[(1, 0), (5, 1)], find the values of alpha for which A^2=Bdot

If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of bdot

Let A = [[0, alpha],[0,0]] and(A+I)^(70) - 70 A = [[a-1,b-1],[c-1,d-1]], the value of a + b + c + d is

If A=|[alpha,2], [2,alpha]| and |A|^3=125 , then the value of alpha is a. +-1 b. +-2 c. +-3 d. +-5

If B=[{:(5,2alpha,1),(0,2,1),(alpha,3,-1):}] is the inverse of a 3xx3 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^-1|)

If cos(alpha+beta)+sin(alpha-beta)=0 and tan beta ne1 , then find the value of tan alpha .

If minor of three-one element (i.e.M_(31)) in the determinant [{:(,0,1,sec alpha),(,tan alpha,-sec alpha,tan alpha),(,1,0,1)]:} is 1 then find the value of alpha (0 le alpha le pi).

If sin alpha.sinbeta - cos alpha.cos beta+1=0 , then find the value of cot alpha.tan beta .

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