(1 point) Basis Enter T or F depending on whether the statement is true or false. (You must enterT or F - True and False will not work.) 1. The vector space C(oo, 00} of all functions which are dened and continuous on the whole real line cannot be spanned by any nite set. Hint: Polynomials are continuous. 2. If {A1, A2, . . . , Am} is a linearly independent set of 4 x 4 matrices then it is a basis for MUR} the vector space of all 4 x 4 matrices. 3. Every basis of PAIR), the vector space of all polynomials of degree less then or equal to 4, must contain at least one polynomial of degree 3 or less. 4. If {V1, v2, . . . , Va} is a basis for a vector space V. then for every vector v in V there exists a unique linear combination of v1, v2, . . . , v" which is equal to v. 5. If X is anyr vector in R\" and B is any basis for R", then the coordinate vector of xvvith respect to B is the same as x