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Linear Systemshard
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A 3×43 \times 43×4 augmented matrix reduces to: [1021∣401−10∣30000∣0]\begin{bmatrix} 1 & 0 & 2 & 1 & | & 4 \\ 0 & 1 & -1 & 0 & | & 3 \\ 0 & 0 & 0 & 0 & | & 0 \end{bmatrix}​100​010​2−10​100​∣∣∣​430​​

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