Q24Comprehension2 Marks4 Aug 2024PassageLet SSS be the set of all solutions to Ax=bAx=bAx=b, where A=[10−1010000]A=\begin{bmatrix}1&0&-1\\0&1&0\\0&0&0\end{bmatrix}A=100010−100 and b=[110]b=\begin{bmatrix}1\\1\\0\end{bmatrix}b=110. Answer the subquestions.Select all true statements.ASSS is the empty set.BSSS is a singleton set containing the zero vector.CS=(1,1,0)+span{(1,0,1)}S=(1,1,0)+\operatorname{span}\{(1,0,1)\}S=(1,1,0)+span{(1,0,1)}.DS=(0,1,−1)+span{(1,0,1)}S=(0,1,-1)+\operatorname{span}\{(1,0,1)\}S=(0,1,−1)+span{(1,0,1)}.
