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Linear AlgebraMediumVector Spaces & Bases

Vector Spaces & Bases · Medium problem

The matrix A=(301−232023010−1−53)A = \begin{pmatrix}3 & 0 & 1 & -2 & 3\\2 & 0 & 2 & 3 & 0\\1 & 0 & -1 & -5 & 3\end{pmatrix} has rank 22. What is the dimension of its null space?