Please complete the following 8 practice questions, no detailed problem-solving process is required. Just results and answers.

Math 120 Homework 10: Problem 2 (1 point) Let a} = [2] and 32 = [if]. The set {a}, a2} will span E2 unless h, || [hc there are no values of k that make the set fall to span, enter "NONE". If the set fails to span for all values of 27, enter "ALL".) Math 120 Homework 10: Problem 5 [1 point} LetA=[_1 4 D] 3 s 2 ' We want to determine if the columns of A span R2. To check this we add ll times the first row to the second. We conclude that C) A. The columns of A do span E3. (:3 B. The columns of A do not span R2. (:3 C. We cannot tell if the columns of A span R2. Math 120 Homework 10: Problem 6 [1 point} 2{) h Letal=[ 15],an::l Bg=|: 24]. The set {a}, am} will span 31E: unless I; || [If there are no values of )1 that make the set fall to span, enter "NONE". If the set fails to span for all values of h enter "ALL".} Math 120 Homework 10: Problem 7 (1 point) 13 Let &1 = 3 3 , and b = -21 5 51 Is b in the span of of a, and a2? O A. Yes, b is in the span. O B. No, b is not in the span. O C. We cannot tell if b is in the span. Either fill in the coefficients of the vector equation, or enter "NONE" if no solution is possible. b a1+ a2Math 120 Homework 10: Problem 8 (1 point) Let a1 = , and b = 24 1 Is b in the span of of a, and a2? O A. Yes, b is in the span. O B. No, b is not in the span. O C. We cannot tell if b is in the span. Either fill in the coefficients of the vector equation, or enter "NONE" if no solution is possible. b a1+ a2Math 120 Homework 10: Problem 9 (1 point) 18 Let aj = and b -21 Is b in the span of of al? O A. No, b is not in the span. O B. Yes, b is in the span. O C. We cannot tell if b is in the span. Either fill in the coefficients of the vector equation, or enter "NONE" if no solution is possible. b a1Math 120 Homework 10: Problem 10 (1 point) -17 -217 201 Let a1 = h 182 = 9 , and as = -8 4 4 The set {a1, a2, ag} will span R$ unless h (If there are no values of h that make the set fail to span, enter "NONE". If the set fails to span for all values of h enter "ALL".)Math 120 Homework 10: Problem 11 (1 point} Let Ell = [92] and b = [3:12]. Is In in the span of of 211? if) A. "'r'es, I: is in the span. {2'} B. No.1": is not in the span. {2'} C. We cannot tell if h is in the span. Eithertill in the coefficients of the 1\"rector equation. or enter 'NDNE" it no solution is possible