Q125
Consider the set of (column) vectors defined by X = x \[ \] R3 | x1 + x2 + x3 = 0, where xT =[x1, x2, x3]T. Which of the following is TRUE?
Consider the set of (column) vectors defined by X = {x R3 | x1 + x2 + x3 = 0, where xT =[x1, x2, x3]T}. Which of the following is TRUE?
A.
{[1, -1, 0]T, [1, 0, -1]T} is a basis for the subspace X
AnswerB.
{[1, -1, 0]T, [1, 0, -1]T} is a linearly independent set, but it does not span X and therefore is not a basis of X
C.
X is not a subspace for R3
D.
None of the above
Answer: Option A
Solution
Answer: Option A
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