Ononot — Consider the matrix A = \begin{pmatrix} 1 & 2 & 1 \\ 2 & 4 &

Linear Systemshard

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Consider the matrix $A = \begin{pmatrix} 1 & 2 & 1 \\ 2 & 4 & 2 \\ 3 & 6 & 3 \end{pmatrix}$ . What is the rank of $A$ and the dimension of its null space?