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show all work please
How to prove these question
(1)Let O denote the zero map O : R^n â R^n, and let T : R^n â R^n. Show that if T^k = O for some k, then T^n = O.
(2)Suppose T : R^n â R^k , U : R^k â R^m are linear maps. Show that nullity(U â¦ T) â¤ nullity(U) + nullity(T).