If $T$ is a linear transformation from $R^3\rightarrow{P}_2$ does $T$ have to be one-to-one? In other words, does any transformation between $R^3$ and $P_2$ have to be an isomorphism just because the spaces are isomorphic, or can there be a linear transformation that is not one-to-one?
2026-03-25 01:40:12.1774402812
Transformations between isomorphic spaces
25 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in VECTOR-SPACES
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