Let R[x, y] be the set of polynomials in two coefficients. Prove that R[x, y] is...

Let R[x, y] be the set of polynomials in two coefficients. Prove that R[x, y] is a vector space over R. A polynomial f(x, y) is called degree d homogenous polynomial if the combined degree in x and y of each term is d. Let Vd be the set of degree d homogenous polynomials from R[x, y]. Is Vd a subspace of R[x, y]? Prove your answer.

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If you doubt in any step please comment down i will try to explain that step further and if you were able to understand the explanation please give feedback

Colby Messinger answered 1 year ago

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Let R[x, y] be the set of polynomials in two coefficients. Prove that R[x, y] is...

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Expert Solution

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