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
