Question

The dimension of the null space of the matrix $\left[\begin{array}{ccc}0& 1& 1\\ 1& -1& 0\\ -1& 0& -1\end{array}\right]$ is

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is B 1

Nullity = Dimension of Null space
= Number of unknowns - Rank
= Number of columns - Rank
= 3 - 2
= 1