(a) Verify Cayley-Hamilton theorem for the matrix $\begin{bmatrix} 2…

Question

(a) Verify Cayley-Hamilton theorem for the matrix $\begin{bmatrix} 2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2 \end{bmatrix}$.

(b) Diagonalize the matrix $\begin{bmatrix} 1 & 2 & 2 \\ 0 & 2 & 1 \\ -1 & 2 & 2 \end{bmatrix}$.

Related pages

• Cayley-Hamilton Theorem — topic
• Engineering Mathematics-I syllabus

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• (a) Verify Cayley-Hamilton theorem for the matrix $\begin{bmatrix} 2 & -1 & 1 \\ -1 & 2 & -1 \\ 1 & -1 & 2 \end{bmatrix}$. (b) Diagonalize the matrix $\begin{b…