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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=(024−2043−2)A = \begin{pmatrix}0 & 2 & 4 & -2\\0 & 4 & 3 & -2\end{pmatrix} (two equations, four unknowns). How many free variables does its solution have?