UW Common Math 308 Section 4.1 - 2015317 UW Common Math 308...

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2015 3 17 UW Common Math 308 Section 4.1 1/21 Current Score : 29 / 30 Due : Tuesday, February 17 2015 11:00 PM PST 1. 1/1 points | Previous Answers HoltLinAlg1 4.1.003. Determine if the described set is a subspace. Assume a and b are real numbers. The subset of consisting of vectors of the form where If so, give a proof. If not, explain why not. R 2 , a b a + b = 1. The set is a subspace. The set is not a subspace. (No Response) Key: Answers will vary. This answer has not been graded yet. Solution or Explanation Not a subspace, because and thus 0 is not in this set. UW Common Math 308 Section 4.1 (Homework) YIFANG CHEN Math 308, section N, Winter 2015 Instructor: Graham J Clenaghan TA WebAssign The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 0 + 0 1,
2015 3 17 UW Common Math 308 Section 4.1 2/21 2. 1/1 points | Previous Answers HoltLinAlg1 4.1.006. Determine if the described set is a subspace. Assume a and b are real numbers. The subset of consisting of vectors of the form If so, give a proof. If not, explain why not. R 4 . a a + 3 a 9 b The set is a subspace. The set is not a subspace. (No Response) Key: Answers will vary. This answer has not been graded yet. Solution or Explanation Let S be the set of vectors of the form Then S = span and hence S is a subspace. b b . a a + b 3 a b 9 b , , 1 1 3 0 0 1 −1 9
2015 3 17 UW Common Math 308 Section 4.1 3/21 3. 0/1 points | Previous Answers HoltLinAlg1 4.1.007. Determine if the described set is a subspace. The subset of consisting of vectors of the form where a and b are integers. If so, give a proof. If not, explain why not. R 2 , a b The set is a subspace. The set is not a subspace. (No Response) Key: Answers will vary. This answer has not been graded yet. Solution or Explanation Not a subspace. Let and Then u belongs to the set, but does not. r = 1 2 u = . 1 0 r u = 1/2 0
2015 3 17 UW Common Math 308 Section 4.1 4/21 4. 1/1 points | Previous Answers HoltLinAlg1 4.1.009. Determine if the described set is a subspace. Assume a , b , and c are real numbers. The subset of consisting of vectors of the form where If so, give a proof. If not, explain why not. R 3 , a b c abc = 0. The set is a subspace. The set is not a subspace. (No Response) Key: Answers will vary. This answer has not been graded yet. Solution or Explanation Not a subspace. Let and Then both u and v belong to the subset, but does not, since u = 1 0 0 v = . 0 1 1 u + v = 1 1 1 1(1)(1) = 1 0.
2015 3 17 UW Common Math 308 Section 4.1

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