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Let x be a finite dimensional linear space show that for

All vector spaces are finite dimensional

1) Let X be a finite dimensional linear space. Show that, for every subspace Y of X, Y perp perp = Y (that is, the annihilator of the annihilator of Y is Y)

2) X = U = V = polynomials in s, T=d/ds, S=multiplication by s

Show that S and T are linear and ST is not equal to TS

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Algebra: Let x be a finite dimensional linear space show that for

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