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

question 17

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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=[900009001641160009]A=\left[\begin{array}{rrrr}9 & 0 & 0 & 0 \\0 & 9 & 0 & 0 \\-16 & 4 & 1 & 16 \\0 & 0 & 0 & 9\end{array}\right]


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