Given A=[21−22023−42511−1020004−100021]A = \begin{bmatrix} 2 & 1 & -2 & 2 & 0 \\ 2 & 3 & -4 & 2 & 5 \\ 1 & 1 & -1 & 0 & 2 \\ 0 & 0 & 0 & 4 & -1 \\ 0 & 0 & 0 & 2 & 1 \end{bmatrix}A=2210013100−2−4−10022042052−11 and a polynomial f(x)=x4−7x3+13x2−6x+1f(x) = x^4 - 7x^3 + 13x^2 - 6x + 1f(x)=x4−7x3+13x2−6x+1. Find the largest eigenvalue of f(A)f(A)f(A).
