Characteristic Polynomial Verification

Given an array $C$ of $M$ integers and a square matrix $A$ (with integer entries) of dimension $N \times N$, verify whether the following equation is true, $$C_0 I_{N} + C_1 A + C_2 A^2 + \dots C_{M-1} A^{M-1} \equiv 0_N \pmod{998244353}$$ where $0_N$ is the square null matrix (matrix in which all elements are zero) and $I_N$ is the identity matrix, both having dimensions $N \times N$. **Note: