$\bf命题:$$\bf(03中南四)$设$A \in {P^{n \times n}}$,令$F\left( A \right) = \left\{ {f\left( A \right)|f\left( x \right) \in {\text{P}}[{\text{x}}]} \right\}$,证明:$\bf命题:$$\bf(03中南四)$设$A \in {P^{n \times n}}$,令
$\bf命题:$$\bf(03中南四)$设$A \in {P^{n \times n}}$,令$F\left( A \right) = \left\{ {f\left( A \right)|f\left( x \right) \in {\text{P}}[{\text{x}}]} \right\}$,证明:$\bf命题:$$\bf(03中南四)$设$A \in {P^{n \times n}}$,令