Question: Let $A$ be a $3 times 3$ matrix with characteristic polynomial $$ p_{A}(lambda)=lambda^{3}+a lambda+b. $$ Determine the characteristic polynomial of $A^{2}$ in terms of $a$

$Let $A$ be a $3 \times 3$ matrix with characteristic polynomial$

Let $A$ be a $3 \times 3$ matrix with characteristic polynomial $$ p_{A}(\lambda)=\lambda^{3}+a \lambda+b. $$ Determine the characteristic polynomial of $A^{2}$ in terms of $a$ and $b$.CS.SD.062||

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