(Solution Library) Find a $3 x 3$ matrix A that has eigenvalues ω_1=0, ω_2=1, ω_3=-1 with corresponding eigenvectors P_1=(c0 , 1 , -1), P_2=(c1


Question: Find a $3 x 3$ matrix \(A\) that has eigenvalues \(\omega_{1}=0, \omega_{2}=1, \omega_{3}=-1\) with corresponding eigenvectors \(P_{1}=\left(\begin{array}{c}0 \\ 1 \\ -1\end{array}\right), P_{2}=\left(\begin{array}{c}1 \\ -1 \\ 1\end{array}\right), P_{3}=\left(\begin{array}{l}0 \\ 1 \\ 1\end{array}\right)\)

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Deliverable: Word Document

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