Two examples are:(adsbygoogle = window.adsbygoogle || []).push({});

How can one know how small a subspace is? initially I thought it was determined from the number of elements in the subspace, but there infinite number of elements. Can also someone please give an example by giving two subspaces and show the ways to compare which one is smaller than which?

- Given two subspaces ##U## and ##W## in a vector space ##V##, the smallest subspace in ##V## containing those two subspaces mentioned in the beginning is the sum between them, ##U+W##.
- The smallest subspace containing vectors in the list ##(u_1,u_2,...,u_n)## is ##\textrm{span}(u_1,u_2,...,u_n)##.

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# How to determine the smallest subspace?

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