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Linear AlgebraEasyRow Reduction & Rank

Row Reduction & Rank · Easy problem

The homogeneous system Ax=0A\mathbf x = \mathbf 0 in unknowns x1,x2,x3,x4x_1, x_2, x_3, x_4 has reduced row echelon form

(120−10013).\begin{pmatrix} 1 & 2 & 0 & -1 \\ 0 & 0 & 1 & 3 \end{pmatrix}.

Find x3x_3 in the special solution with x2=0x_2 = 0 and x4=1x_4 = 1.