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Linear Systemshard
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Determine the rank of the matrix A=(1000010000000000)A = \begin{pmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 0 \end{pmatrix}A=​1000​0100​0000​0000​​.