Q27MCQ2 marks, −0.5Consider the set of (column) vectors defined by X={x∈R3∣x1+x2+x3=0, where xT=[x1,x2,x3]T}X = \left \{x \in R^3 \mid x_1 + x_2 + x_3 = 0, \text{ where } x^T = \left[x_1,x_2,x_3\right]^T\right \}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}\left\{\left[1,-1,0\right]^T,\left[1,0,-1\right]^T\right\}{[1,−1,0]T,[1,0,−1]T} is a basis for the subspace XXX.(B){[1,−1,0]T,[1,0,−1]T}\left\{\left[1,-1,0\right]^T,\left[1,0,-1\right]^T\right\}{[1,−1,0]T,[1,0,−1]T} is a linearly independent set, but it does not span XXX and therefore is not a basis of XXX.(C)XXX is not a subspace of R3R^3R3.(D)None of the aboveSign in to save attempts.Show answer← PreviousNext →SolutionsDiscussionLoading…Sign in with Google