Is this a basis for the Bergman space?

How do you show that something is a basis of a vector space?

  • Answer:

    In order for something to be a basis, it must be a linearly independent spanning set. Prove that it spans the set and is L.I. and you are all set. A span for P3(R) is {1,x,x^2,x^3}

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In order for something to be a basis, it must be a linearly independent spanning set. Prove that it spans the set and is L.I. and you are all set. A span for P3(R) is {1,x,x^2,x^3}

Laura

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