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HW21 eigenspaces diagonalization: Problem 7 (1 point) Let $A=[−20 −5−7 ]$ Find a matrix $S$, a diagonal matrix $D$ and $S_{−1}$ such that $A=SDS_{−1}$. $S=[],D=[],S_{−1}=[]$
HW21 eigenspaces diagonalization: Problem 6 (1 point) Let $A=[60 86 ].$ If possible, find an invertible matrix $P$ so that $D=P_{−1}AP$ is a diagonal matrix. If it is not possible, enter the identity matrix for $P$ and the matrix $A$ for $D$. You must enter a number in every answer blank for the answer evaluator to work properly. $P=[l ].D=[] ] $ Is $A$ diagonalizable over $R$ ? Be sure you can explain why or why not.
HW21 eigenspaces diagonalization: Problem 5 (1 point) Given that the matrix $A$ has eigenvalues $λ_{1}=1$ with corresponding eigenvector $v_{1}=[−12 ]$ and $λ_{2}=−8$ with corresponding eigenvector $v_{2}=[2−5 ]$, find $A$ $A=[]$

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