Calculating the Intersection of Subspaces in Vector Spaces

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jimmycricket
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Given two subspaces of the vector space of all polynomials of at most degree 3 what is the general method to calculate the intersection of the two subspaces?
 
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What is the general method to calculate the intersection of two subspaces of any vector space? It's not even clear what you mean when you say the word "calculate" - are you looking for a basis? If you have a specific problem or example in mind it would be a lot easier if you tell us what it is.