Let A = 0 2 0 1 0 2 0 1 0 . (a) Find the...

Let A = 0 2 0

1 0 2

0 1 0 .

(a) Find the eigenvalues of A and bases of the corresponding eigenspaces.

(b) Which of the eigenspaces is a line through the origin? Write down two vectors parallel to this line.

(d) Write down explicitly a diagonalizing matrix S, and a diagonal matrix Λ such that S −1AS = Λ; A = SΛS −1 . or explain why A is not diagonalizable.

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Expert Solution

(a)

Colby Messinger answered 1 year ago

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