Mathematics, 03.03.2020 18:49 imhacking2048
Suppose V is finite-dimensional and T W V ! W is a surjective linear map of V onto W. Prove that there is a subspace U of V such that T jU is an isomorphism of U onto W. (Here T jU means the function T restrictedtoU. Inotherwords, TjU , withTjU definedbyTjU. u/DTuforeveryu2U.)
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Suppose V is finite-dimensional and T W V ! W is a surjective linear map of V onto W. Prove that the...
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