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Linear Systemshard
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Consider the augmented matrix (121∣3001∣2000∣0)\begin{pmatrix} 1 & 2 & 1 & | & 3 \\ 0 & 0 & 1 & | & 2 \\ 0 & 0 & 0 & | & 0 \end{pmatrix}​100​200​110​∣∣∣​320​​. How many free variables does the system have?