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Linear AlgebraMediumVector Spaces & Bases

Vector Spaces & Bases · Medium problem

The matrix A=(−20300−4060020−300)A = \begin{pmatrix}-2 & 0 & 3 & 0 & 0\\-4 & 0 & 6 & 0 & 0\\2 & 0 & -3 & 0 & 0\end{pmatrix} has rank 11. What is the dimension of its null space?