Question: Let A be a 4*4 matrix with eigenvalues -2, -1, 0, 1. Which one of the following is not rue about the eigenvectors of A?

Let A be a 4*4 matrix with eigenvalues -2, -1, 0, 1. Which one of the following is not rue about the eigenvectors of A?

a. A has four 1-dimensional eigenspaces.

b. If v1 is an eigenvector of A corresponding to -2 and v2 is an eigenvector corresponding to 1 then v1+v2 is not an eigenvector of A

c. Each eigenspace of A is a 1-dimensional subspace of R^4

d. Null(A) contains all eigenvectors of A

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