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Linear AlgebraMediumVector Spaces & Bases

Vector Spaces & Bases · Medium problem

The matrix A=(310−2−2−1−230−22−13−2−4)A = \begin{pmatrix}3 & 1 & 0 & -2 & -2\\-1 & -2 & 3 & 0 & -2\\2 & -1 & 3 & -2 & -4\end{pmatrix} has rank 22. What is the dimension of its null space?