Question

Matrix A is given as A = 0 2 −1 −1 3 −1 −2 4 −1...

Matrix A is given as A =

0 2 −1

−1 3 −1

−2 4 −1
  
a) Find all eigenvalues of A.

b) Find a basis for each eigenspace of A.

c) Determine whether A is diagonalizable. If it is, find an invertible matrix P and a diagonal matrix D such that D = P^−1AP.

Please show all work and steps clearly please so I can follow your logic and learn to solve similar ones myself. I will also rate your answers for you. Thank you kindly!

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