Linear Algebra Consider the following subset W of the given vector spaces V . (i) Find two nonzero (non-trivial) elements in W and justify why they belong to W. (ii) Determine whether W is a subspace...


Linear Algebra


Consider the following subset W of the given vector spaces V .


(i) Find two nonzero (non-trivial) elements in W and justify why they belong to W.


(ii) Determine whether W is a subspace of V . Give proof if it is, or a counter example if it is not.


a<br>V = M2x2(R), W :<br>E M2x2(R) |<br>a + d = 0}<br>а<br>c d<br>

Extracted text: a V = M2x2(R), W : E M2x2(R) | a + d = 0} а c d

Jun 04, 2022
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