In other words, why is dim[{0}]=0. My math professor explained that since the 0 vector is just a POINT in R2 that the zero subspace doesn't have a basis and therefore has dimension zero. This is not satisfactory.(adsbygoogle = window.adsbygoogle || []).push({});

For example, I know R2 has a dimension 2, P_n has dimension n+1, M_(2,2) has dimension 4. These numbers make sense to me but if the zero subspace contain the zero vector why does it not have a basis?

Can someone explain this concept to me a bit further

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# Why is the dimension of the vector space , 0?

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