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QUESTION
Let V be a complex vector space and A E L(V). Assume that A has k distinct eigenvalues A1, . Show that V = GEM O .
Solve question 5 based on Advanced Linear Algebra.Topic in on vector spaces, Linear operator,Eigen values and Italic G denotes generalized eigen space .
5. Let V be a complex vector space and A E L(V). Assume that A has k distincteigenvalues A1, ..., Ak. Show thatV = GEM O . . . OGEAR