alpha^(3)+beta^(3)

Let A=[[alpha+beta, alpha^2+beta^3, alpha^3+beta^3],[alpha^2+beta^2,alpha^3+beta^3,alpha^4+beta^4],[alpha^3+beta^3, alpha^4+beta^4,alpha^5+beta^5]], then (1) A is an involuntary matrix (2) A isa singular matrix (3) |A|=26 (4) none of these

If sinalpha+sinbeta+singamma=cosalpha+cosbeta+cosgamma=0, then (A) cos3alpha+cos3beta+cos3gamma=3cos(alpha+beta+gamma) (B) cos 3alpha+cos3beta+cos3gamma=0 (C) sin3alpha+sin3beta+sin3gamma=0 (D) sin3alpha+sin3beta+sin3gamma= 3sin(alpha+beta+gamma)