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Is there an algorithm to find the basis of intersection of subspaces $A_1$ and $A_2$, if we have the bases of subspaces $A_1$ and $A_2$, without using Gaussian elimination?

Thanks.

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    How are these subspaces described? With an equation? Or something else?2012-12-28
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    You could use Gram–Schmidt...2012-12-28
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    @copper.hat Gram-Schmidt, which orthonormalizes a basis? Or is there another alg with that name? If not, it's hard to see how that applies :( I probably missed something...2012-12-28
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    Why would you want to?2012-12-28
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    @rschwieb: I elaborated my comment below. I am guessing that if Gaussian elimination is eliminated (:-)) then using Gram Schmidt is probably disallowed as well. However, Gram Schmidt is a useful, fairly stable tool to have in the arsenal.2012-12-29

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