Ononot — Consider the system Ax = b where A = \begin{pmatrix} 1 & 0 &

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Linear Systemshard

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Consider the system $Ax = b$ where $A = \begin{pmatrix} 1 & 0 & 1 \\ 0 & 1 & 1 \\ 1 & 1 & 0 \end{pmatrix}$ and $b = \begin{pmatrix} 1 \\ 2 \\ 3 \end{pmatrix}$ . What is the sum of the components of the solution vector $x$ ?