MAT 343 EXAM 3

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Find the canonical forms and the corresponding changes of coordinates for the following linear operators.

$$A=\left( \begin{array}{ccccc} 4 & -1 & -1 & -1 & -1 \\ -2 &... ... 0 & 0 & 0 & 1\\ -64 & 0 & 0 & -16 & 0 & 0 \end{array}\right)$$

$$D=\left( \begin{array}{ccccc} 2 & 1 & 1 & 1 & 1 \\ 2 & 2 & ... ... 1 & 1 & 2 & 2 & 0\\ 1 & 1 & 1 & 1 & 2\\ \end{array}\right)$$