Linear Algebra Quiz
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SYSTEMS OF LINEAR EQUATIONS & MATRICES
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Consider the augmented matrix MM for a linear system, where its row echelon form (not reduced) is given below. Without performing further row operations, which variables can be identified as free variables? MREF=(12035∣60014−1∣200001∣700000∣0)M_{REF} = \begin{pmatrix} 1 & 2 & 0 & 3 & 5 & | & 6 \\ 0 & 0 & 1 & 4 & -1 & | & 2 \\ 0 & 0 & 0 & 0 & 1 & | & 7 \\ 0 & 0 & 0 & 0 & 0 & | & 0 \end{pmatrix}
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