Question: E1.8. Let n be a positive integer. Assume that the (n x n)-matrix H satisfies rank (H-) = rank (H) . (a) Show that Ker

E1.8. Let n be a positive integer. Assume that the (n x n)-matrix H satisfies rank (H-) = rank (H) . (a) Show that Ker (H) C Ker(H2). (b) Demonstrate that dim (Ker (H) ) = dim (Ker(H2) )

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