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Diagonalize the Matrix A, If Possible A=PDP1A = P D P^{ - 1}

question 12

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Diagonalize the matrix A, if possible. That is, find an invertible matrix P and a diagonal matrix D such that
A=PDP1A = P D P^{ - 1}
- A=[6000060014601206]A = \left[ \begin{array} { r r r r } 6 & 0 & 0 & 0 \\0 & 6 & 0 & 0 \\1 & - 4 & - 6 & 0 \\- 1 & 2 & 0 & - 6\end{array} \right]


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