1. If $2 v_{1}-3 v_{2}+v_{3}=b$, and $A x=b$, where $A$ is the matrix with columns $v_{1}$, $\mathrm{v}_{2}$ and $\mathrm{v}_{3}$, find the vector $\mathrm{x}$. 2. For $A=\left[\begin{array}{ccc}1 & -3 & 2 1 -2 & 5 & -1 W 3 & -4 & -8\end{array} ight]$ and $b=\left[\begin{array} {1}b_{1} \\ b_{2} \b_{3} \end{array} ight]$, which of the following is true? (There is only one tight answer_) A. The equation $A x=b$ is consistent for all $b$. B. The equation $A x=b$ is consistent for some choices of b but not all. C. The equation $A \mathbf {x}=\mathbf{b}$ is inconsistent for all $\mathbf{b}$. 3. If a system of equations has an augmented matrix reduces to $\left[\begin{array}{ccccc}1 & 0& -1 & 2 & 0110 & 1 & 4 & 0 & 1 10 & 0& 0& 0& O\end{array} ight ]$, write the solution to the original system in parametrix vector form.cs.SD.107|| 1. If $2 v_{1}-3 v_{2}+v_{3}=b$, and $A x=b$, where $A$ is the matrix with columns $v_{1}$, $\mathrm{v}_{2}$ and $\mathrm{v}_{3}$, find the vector $\mathrm{x}$. 2. For $A=\left[\begin{array}{ccc}1 & -3 & 2 1 -2 & 5 & -1 W 3 & -4 & -8\end{array} ight]$ and $b=\left[\begin{array} {1}b_{1} \\ b_{2} \b_{3} \end{array} ight]$, which of the following is true? (There is only one tight answer_) A. The equation $A x=b$ is consistent for all $b$. B. The equation $A x=b$ is consistent for some choices of b but not all. C. The equation $A \mathbf {x}=\mathbf{b}$ is inconsistent for all $\mathbf{b}$. 3. If a system of equations has an augmented matrix reduces to $\left[\begin{array}{ccccc}1 & 0& -1 & 2 & 0110 & 1 & 4 & 0 & 1 10 & 0& 0& 0& O\end{array} ight ]$, write the solution to the original system in parametrix vector form.cs.SD.107||