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I'm just learning for my linear algebra exam and I wonder if somebody could give me an example of a nontrivial subspace which has as many dimensions as the original space.

Thanks a lot

- Thread starter dan0
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- #1

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I'm just learning for my linear algebra exam and I wonder if somebody could give me an example of a nontrivial subspace which has as many dimensions as the original space.

Thanks a lot

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HallsofIvy

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Another possibility, a

The vector space of all polynomials with subspace the space of all even polynomials comes to mind.

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