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Matriceshard
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A matrix AAA reduces to row echelon form: (1203001−10000)\begin{pmatrix} 1 & 2 & 0 & 3 \\ 0 & 0 & 1 & -1 \\ 0 & 0 & 0 & 0 \end{pmatrix}​100​200​010​3−10​​

What are the rank of AAA and the dimension of its null space?