

MCQOPTIONS
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1. |
Consider two subsets of R3 given asS1 = {[1, -1, 2], [3, 2, -1]} and S2 = {[2, 7, -3],[-6, -21, 9]}. Then: |
A. | neither S1 and S2 can be enlarged to a basis for R3 |
B. | S1 can be enlarged but S2 cannot be enlarged to a basis for R3 |
C. | S1 cannot be enlarged but S2 can be enlarged to a basis for R3 |
D. | both S1 and S2 can be enlarged to a basis for R3 |
Answer» C. S1 cannot be enlarged but S2 can be enlarged to a basis for R3 | |