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

If A= [(1,0,3),(4,5,2)] and B = [(-1,2,5),(7,3,1)] find B - A

Let f(x ) = ( alpha x^2 )/(x+1),x ne -1 the value of alpha for which f(a) =a , (a ne 0) is

If A+2B = [3,1,2),(-4,0,5)] ,2A-B= [(0,-1,7),(-2,6,1)] find A and B.

If A= [(3,-1,0),(2,1,5)] ,B= [(2,2,1),(3,0,-2)] .Find A+B,2A-B

Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(1,-2,3)] . If B is the inverse of A, then alpha is :

If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A , then find the value of (|adjB|)/(|C |)

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

If A(-2, -1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram, find the values of a and b.

Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xgeq1 if f(x) has a maximum at x=1, then find the values of alpha .