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# Vector Space basis

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P_2={a_2 x^2 + a_1 x + a_0 | a_0, a_1, a_2 E R}

which of the following is a basis for P_2?

{x^2 + x, x^2 +5x, x}

{x^2, x^2 + 5, 3}

{x^2 + x + 1, x + 5, 3}

{x^2 + x + 1, x + 5, 0}

{x + 1, x + 5, 3}

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The expert examines vector space basis.

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There are two criteria for a set of vectors to be a basis for vector space W.
For to be a basis for vector space , we must be able to represent any vector in W as s ...

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