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)}
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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)}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbad9eda7-57c9-475e-b126-0f24ea0e5433%2F20945bc0-c4d4-41c2-93ab-4ed4b9d11d32%2Femueom_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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