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Linear AlgebraMediumRow Reduction & Rank

Row Reduction & Rank · Medium problem

The homogeneous system Ax=0A\mathbf x = \mathbf 0 has coefficient matrix A=(2−141−3−2−1−1)A = \begin{pmatrix}2 & -1 & 4 & 1\\-3 & -2 & -1 & -1\end{pmatrix} (two equations, four unknowns). How many free variables does its solution have?