Let A be a 2x3 matrix and B a 3x2 matrix. If AxB and BxA both defined and determinant of the matrix AxB is 4, then evaluate the determinant of the matrix BxA.
What is the shortest distance between circle A defined by (x − 5)2 + (y − 4)2 = 4 and circle B defined by (x − 1)2 + (y − 1)2 = 1? There is some point P on circle A closest to B, and there is another point Q on circle B closest to A. What are the coordinates of P and Q?
Suppose α, β, γ are roots of the equation:
x3 + 3x2 – 24x + 1 = 0
Find the value of ∛α + ∛β + ∛γ
