Suppose that V and W are finite dimensional and that U is a subspace of V. If dimU≥dimV-dimW prove that there exists a linear map T from V to W such that kerT=U.(adsbygoogle = window.adsbygoogle || []).push({});

My answer is this:

Consider the following linear map:

T|u>=|u> if |u> belongs to V-U and T|u>=|0> if |u> belongs to U

Therefore kerT=U

Is this correct?

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# A question on linear maps

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