Question: 1. (2 pt) Here is an identity for the exponential function e.. n We can define the exponential of a matrix in a similar fashion:

1. (2 pt) Here is an identity for the exponential function e.. n We can define the exponential of a matrix in a similar fashion: An exp(A) := n! i=0 Suppose that A had eigenvector V with eigenvalue A. Prove that V is an eigenvector of exp( A) with eigenvalue ed. Hint: Recall that if V is an eigenvector of A with eigenvalue A, then V is an eigenvector of An with eigenvalue 1", for all n 2 0

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