Question: Please solve Let A 6 CM and A E C, U 79 r E C be given. Assume that A is not an eigenvalue of

Please solve

$Please solve Let A 6 CM\" and A E C, U 79$

Let A 6 CM\" and A E C, U 79 r E C\" be given. Assume that A is not an eigenvalue of A. Show that there exists a matrix E 6 CM\" satisfying IIEIIF = so that :1\"? = (AI A)'1'r is an eigenveetor of A + E associated to the eigenvalue A. (a) Will you please give an explanation for the insightful purpose of this question. (Hint: look at notations of vectors.)

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