3 Find the eigenvalues and their corresponding eigenspaces of the matrix A 0 0 0 u a Enter X the eigenvalue with algebraic

Question

3 Find the eigenvalues and their corresponding eigenspaces of the matrix A 0 0 0 u a Enter X the eigenvalue with algebraic multiplicity one and then X the eigenvalue with algebraic multiplicity tw A1 A Note Enter two numbers separated by a comma b Enter an eigenvector for the eigenvalue X which has multiplicity one 13 M v or v w 2 5 1 Note Your answer should be a vector of the form 11 12 13 c Enter eigenvector s for the eigenvalue X which has multiplicity two If all the eigenvectors are proportional to each other then enter only one eigenvector If there are two eigenvectors not proportional to each other then enter these two eigenvectors Note Your answer should be either one vector the form 1 12 13 or two vectors separated by commas

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