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Determine whether V and W are isomorphic. If they are, give an explicit isomorphism T: V W. V=P2, W = {p(x) in P3: p(0)
Determine whether V and W are isomorphic. If they are, give an explicit isomorphism T: V W. V=P2, W = {p(x) in P3: p(0) = 0} O V and W are isomorphic and T(ax + bx + cx) = a + bx + cx2 is an explicit isomorphism 7: V W. O V and W are isomorphic and T(a + bx + cx) = 1 + ax + bx + cx is an explicit isomorphism T: V W. OV and W are isomorphic and T(a + bx + cx) = ax + bx + cx is an explicit isomorphism T:V W. OV and W are isomorphic and 7(1 + ax + bx + cx) = a + bx + cx2 is an explicit isomorphism T: V W. OV and W are not isomorphic.
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