Linear Systemshard
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A 3×43 \times 4 augmented matrix reduces to: [102140110300000]\begin{bmatrix} 1 & 0 & 2 & 1 & | & 4 \\ 0 & 1 & -1 & 0 & | & 3 \\ 0 & 0 & 0 & 0 & | & 0 \end{bmatrix}

Which vector is a valid basis vector for the null space (homogeneous solution)?