Ononot — Determine whether the vector \mathbf{b} = \begin{bmatrix} 2

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Linear Systemshard

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Determine whether the vector $\mathbf{b} = \begin{bmatrix} 2 \\ 1 \\ 3 \end{bmatrix}$ is in the column space of $A = \begin{bmatrix} 1 & 0 \\ 1 & 1 \\ 2 & 1 \end{bmatrix}$ by analyzing the augmented matrix $[A | \mathbf{b}]$ .