Determine whether the following are subspaces of C[−1, 1]: The set of continuous nondecreasing functions on [−1, 1]

5. Let P2 be the vector space of polynomials of degree at most 2. Determine if the vector v = 10x – 7 is in the subspace Span{3x? + x – 1, x² – 3x + 1}

Prove that the dual space of 10 is not isometric to 11 but contains a subspace isometric to l1.

Which of the following is a subspace of the vector space P2 of all polynomials of degree at most 2? Select one or more: O a. The set of all polynomials of degree at most 1 O b. {ao +a1r + a2x2 E P2 : ao = 4} Oc. {ao +a1r + a2x E P2: a1 + a2 = 3} %3D d. {1+x+ x}