Question: Please help me out with this linear algebra question: show all your work Q1) suppose that we have a 3x3 matrix B , such that

Please help me out with this linear algebra question:

show all your work Q1) suppose that we have a 3x3 matrix B , such that ; 0 - 2 B = 2 0 3 Parta) show that the eigenvalues of B ate , and 2 , by finding the characteristic Polynomial for B Partb) Find a basis for each eigenspace of B . Partc) If Possible, Find an invertible matrix P and a diagonal matrix D such that P BP = D. And if it is not Possible, show and explain why

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