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One of the fundamental axioms that must hold true for a set of elements to be considered a vector space is as follows:

1*x = x

I was given a particular space: The set of all polynomials of degree greater than or equal to three, and zero, and asked to evaluate whether or not it was a vector space or not. The one that doesn't hold true is 1*x=x (according to the solutions), but I don't understand why. I can't find a situation where the above axiom holds true. Could anyone help me out?

Thanks

Preet

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# Homework Help: Linear Algebra: Vector space axioms

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