A set in R2 is displayed to the right. Assume the set includes the bounding lines. Give a specific reason why the set H is not a subspace of R?. (For instance, find two vectors in H whose sum is not in H, or find vector in H with a scalar multiple that is not in H. Draw a picture.) Let u and v be vectors and let k be a scalar. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. OB. Oc. OD. The set is not a subspace because it is closed under sums, but not under scalar The set is not a subspace because it is not closed under either scalar multiplication or The set is not a subspace because it is closed under scalar multiplication, but not under sums. For example, the sum of (3,1) and (1,3) is not in the set. The set is not a subspace because it does not include the zero vector. multiplied by sums. For example, multiplied by (1,3) is multiplication. For example, (1,1) is not in the set. not in the set, and the sum of (3,1) and (1,3) is not in the set, ku u+v/ u+v ku

A set in R2 is displayed to the right. Assume the set includes the bounding lines. Give a specific reason why the set H is not a subspace of R?. (For instance, find two vectors in H whose sum is not in H, or find vector in H with a scalar multiple that is not in H. Draw a picture.) Let u and v be vectors and let k be a scalar. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. OB. Oc. OD. The set is not a subspace because it is closed under sums, but not under scalar The set is not a subspace because it is not closed under either scalar multiplication or The set is not a subspace because it is closed under scalar multiplication, but not under sums. For example, the sum of (3,1) and (1,3) is not in the set. The set is not a subspace because it does not include the zero vector. multiplied by sums. For example, multiplied by (1,3) is multiplication. For example, (1,1) is not in the set. not in the set, and the sum of (3,1) and (1,3) is not in the set, ku u+v/ u+v ku

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 42CR: Repeat Exercise 41 for B={(1,2,2),(1,0,0)} and x=(3,4,4). Let B={(0,2,2),(1,0,2)} be a basis for a...

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