4. Determine whether the sets span R? for part a and R' for part b. If the set does not span R² for part aand R' for part b, give a geometric description of the subspace they do span.a. S, = {(-1, 2), (2, -1), (1, 1)}b. Sz = {(1,0, 3), (2,0, -1), (4, 0, 5). (2, 0, 6)}

Answered: Image /qna-images/answer/20945bc0-c4d4-41c2-93ab-4ed4b9d11d32.jpg

4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for part a and R' for part b, give a geometric description of the subspace they do span. a. S, = {(-1, 2), (2, -1), (1, 1)} b. Sz = {(1,0,3), (2,0,-1), (4,0, 5). (2, 0, 6)}

4. Determine whether the sets span R' for part a and R' for part b. If the set does not span R? for part a and R' for part b, give a geometric description of the subspace they do span. a. S, = {(-1, 2), (2, -1), (1, 1)} b. Sz = {(1,0,3), (2,0,-1), (4,0, 5). (2, 0, 6)}

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.6: Rank Of A Matrix And Systems Of Linear Equations

Problem 67E: Let A be an mn matrix where mn whose rank is r. a What is the largest value r can be? b How many...

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Question

4. Determine whether the sets span R? for part a and R' for part b. If the set does not span R² for part a
and R' for part b, give a geometric description of the subspace they do span.
a. S, = {(-1, 2), (2, -1), (1, 1)}
b. Sz = {(1,0, 3), (2,0, -1), (4, 0, 5). (2, 0, 6)}

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