Suppose A in R(n×n) and p(s)=s⁽ⁿ⁾+a₍₁₎s⁽ⁿ⁻¹⁾+⋯+a₍ₙ₎is polynomial of degree n, with leading coefficient one, that satisfies p(A)=0. then p is the characteristic polynomial of A.
a) True
b) False
c) Can't be determined
d) Not applicable