Question: Eva and Archer are trying to compute A5 for some diagonalizable 2 by 2 matrix A. The only things that the kittes know about A

Eva and Archer are trying to compute A5 for some diagonalizable 2 by 2 matrix A. The only things that the kittes know about A are that A has an eigenspace associated with eigenvalue 1 that is E1 =span{ 2 7 } and an eigenspace associated with eigenvalue -3 that is E3 =span{ 1 3 }. Can Eva and Archer determine what A5 is? If so, fnd A5. If not, explain why it is impossible

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