MathCastle
Linear AlgebraMediumVector Spaces & Bases

Vector Spaces & Bases · Medium problem

The matrix A=(1−1020000002−2040)A = \begin{pmatrix}1 & -1 & 0 & 2 & 0\\0 & 0 & 0 & 0 & 0\\2 & -2 & 0 & 4 & 0\end{pmatrix} has rank 11. What is the dimension of its null space?