PROBLEM $2(30$ points$)$: Use your Student Number: $2023-21259($use $9"$ if A$,$ B$,$ or $C$ is $"0").$ Employ the Power method to determine the highest and smallest eigenvalues for the matrix $H$ below:

$[H]=\left[\begin{array}{ccc}A+B+C& -B& C\\ 0& A& -B\\ 0& 0& A+B\end{array}\right]$

Show a complete solution. Iterations may be stopped when the true error,

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