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  3. 1. show that the set of all polynomials of deg=2 i

1. Show that the set of all polynomials of deg=2 is not a vector space over...

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Advance Math

1. Show that the set of all polynomials of deg=2 is not a vectorspace over reals.

can this be fixed, can we have a set of polynomials that is avector space over reals?

2. Show that the set of 2x2 matrices with m_22 = 1 is not avector space over reals.

3. Show that the set of infinitely-differentiable real functionsis a a vector space under pointwise function addition, andpointwise scalar multiplication as defined in class, is a vectorspace over reals.

4. Show that the set of infinitely differentiable real functionssuch that f(0)=2, is not a vector space over reals.

please answer 1-4 thankyou

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