if A=1000110−24 and 6A−1=A2+cA+dI, then c,d=

By Caylay-Hamilton therem, every square Matrix satisfies its characteristic equation.A-λI=0⇒1-λ000λ-λ10-24-λ=0⇒λ3-6λ2+11λ-6=0⇒A3-6A2+11A-6I=0⇒6I=A3-6A2+11AMultiplying  with A-1, we get6A−1=A2−6A+11I⇒c=-6 and d=11