Question: For the matrix A where $$ A = begin{bmatrix} 1 & -1 & 0 1 & 1 & 2 2 & 0 &

For the matrix A where

$$

A = \begin{bmatrix} 1 & -1 & 0 \\ 1 & 1 & 2 \\ 2 & 0 & 2 \end{bmatrix},

$$

find a 3 x 3 matrix X of rank 3 - r such that AX = 0 (r is the rank of A).

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