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2. Determine whether the following pairs of vector spaces are isomorphic. If so, give an explicit...

2. Determine whether the following pairs of vector spaces are isomorphic. If so, give an explicit isomorphism (you must show that it is indeed an isomorphism); if not, state why not.

a) R5 and P5

b) P8 and Mat33(R)

c) {f ∈ P4 | f(2) = 0} and {(x1,...,x6) ∈ R6 | x1 = x4 = x5}

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