1. The problem statement, all variables and given/known data For p(x)=x4-2x3+3x2-3x+1 and A= 1 1 1 -1 -1 0 -2 1 0 0 1 0 1 0 0 0 you can check that P(A)=0 using this find a polynomial q(x) so that q(A)=A-1. The point is A4-2A3+3A2-3A=A(-A3+2A2-3A+3I)=I a) What is q(x)? I don't really understand how to approach this problem. My initial though was that I had to solve the right side of the eqn(A4-2A3+3A2-3A) and that would be q(x). Am I on the right track? Also what's the purpose of p(x)?