Physics, 05.10.2019 02:30, AllyPotter1475

Let v denote the vector space consisting of all n x n matrices with entries in f (you may assume, without givingaproof, thatv isavectorspaceoverf). let w ={aev : at =-a}, where at denotesthe transpose of the matrix a.
(a) prove that w is a subspace of v .
(b) find a finite set of elements of w that span w.
(c) find a basis for w.
(d) find dim(w).

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Let v denote the vector space consisting of all n x n matrices with entries in f (you may assume, wi...