Consider the subspace VW = {(a, b, c) : a + 26 + 3c = 0} of R3. Choose all of the following statements that are true. Please keep in mind that more than one answer may be correct. O {(2,1,1), (3, 1, 1)} is a basis for W. O dim W = 3 {(1, 2, 3)}i a basis for W. O dim W = 2 O {(-2, 1,0), (-3,0, 1)} is a basis for W.
Consider the subspace VW = {(a, b, c) : a + 26 + 3c = 0} of R3. Choose all of the following statements that are true. Please keep in mind that more than one answer may be correct. O {(2,1,1), (3, 1, 1)} is a basis for W. O dim W = 3 {(1, 2, 3)}i a basis for W. O dim W = 2 O {(-2, 1,0), (-3,0, 1)} is a basis for W.
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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Transcribed Image Text:Consider the subspace W = {(a, b, c) : a + 2b+ 3c = 0} of R³. Choose all of the following statements
that are true. Please keep in mind that more than one answer may be correct.
O {(2, 1, 1), (3, 1, 1)} is a basis for W.
O dim W
3
O {(1, 2, 3)}is a basis for W.
O dim W
= 2
O {(-2, 1, 0), (-3,0, 1)} is a basis for W.
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