Question
. Let A be the matrix \left(\begin{array}{rrr} 4 & 0 & 0 \\ 6 & 1 & 3 \\ -6 & 3 & 1 \end{array}\right) (a) By finding a basis of eigenvectors, determine matrices P and P-1 such that P-1AP is diagonal. (b) State the Cayley-Hamilton theorem, and verify it for the abovematrix.
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