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Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O S is a basis for R3, O s is not a basis for R3. If S is a basis for R°, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, S2, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =

Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O S is a basis for R3, O s is not a basis for R3. If S is a basis for R°, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, S2, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =

Advanced Engineering Mathematics
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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Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O s is a basis for R3. O s is not a basis for R3. If S is a basis for R3, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, 52, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =
Transcribed Image Text:Determine whether S is a basis for R3. S = {(3, 2, 5), (0, 2, 5), (0, 0, 5)} O s is a basis for R3. O s is not a basis for R3. If S is a basis for R3, then write u = (9, 2, 15) as a linear combination of the vectors in S. (Use s1, 52, and s3, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) u =
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