Question

Let A,B,C be n*n real matrices and are pairwise commutative and ABC=0n and if lambda=det .(A3+B3+C3) then..

Answer 1

A. lambda>0
B.lambda<0
C.lambda=0
d.lambda belongs to (-infinity,infinity)-{0}

Answer 2

i think i know what commutative means but what does pairwise commutative mean?

Answer 3

ab = ba, ac=ca, bc=cb

Answer 4

thanks @myko
i still dont quite get the question though,
what do you mean by A3?

Answer 5

its a'cube