Q: Consider the real vector space ^4 of real polynomials of degree less than 4.

Q: Consider the real vector space ^4 of real polynomials of degree less than 4. a: Prove that the ordered set B = (1 + t t + t t + t t) is a basis for ^4 b. (exercise5.10 #7) By using the coordinate isomorphism c_Bto convert to a problem in R^4 from a basis for ^4 from among the following vectors: 1+2t+2t t+ 2t + t 1+ t t-t t+2t 1+t+t