Problem #16: Let I be the set of all ordered pairs of real numbers (u1, u2). Consider the following addition and scalar [2 marks] Announcement: multiplication operations on u = (u1, u2) and v = (v1, v2): Correction to #17: replace = (0,0,0) with = 0 but ONLY IF YOUR utv = (u1 + v1, u2 + v2), ku = (ku1, kuz) QUESTION HAS A DOT PRODUCT IN IT. (close Consider the following vector space axioms. (i) (k + m)u = ku + mu (ii) K(utv) = ku + kv (iii) k(mu) = (km)u Which of the above axioms are true for the above set with the given operations? (A) (ii) only (B) (i) only (C) (i) and (ii) only (D) (iii) only (E) all of them (F) (ii) and (iii) only (G) none of them (H) (i) and (iii) only Problem #16: Select v Save Your work has been saved!_(Back to Admin Page). [2 marks] Problem #17: Which of the following sets are closed under addition? Announcement: Correction to #17: replace = (0,0,0) with (i) The set of all matrices in My2 such that A! = A. = 0 but ONLY IF YOUR QUESTION HAS A (ii) The set of all vectors u in R' such that u . (9, 8, 4) = (0, 0, 0). DOT PRODUCT IN IT. (iii) The set of all polynomials a + bx + ex- in P2 such that ab = 4c. (close (A) all of them (B) (i) and (ii) only (C) (ii) and (iii) only (D) (iii) only (E) (i) and (iii) only (F) (ii) only (G) (i) only (H) none of them Problem #17: Select v