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Answer by Emily for Cayley-Hamilton Theorem with a fraction

In general for an $n\times n$ matrix $M$, $\det cM = c^n\det M$.So, let $4\lambda = \mu$ and compute the characteristic polynomial as $\det \lambda I - \frac14 A = \det \frac14 \mu I-\frac14 A =...

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Cayley-Hamilton Theorem with a fraction

A ∈ M3,3(R) be the following matrix:$$A = \frac{1}{4} \left( \begin{matrix} 3 & 2 & 7 \\ -10 & 4 & -30\\ -1 & 2 & -3 \end{matrix} \right)$$We have been asked to find out the...

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