Question

2. Write the following matrix equations as an augmented matrix, and then solve the equation. Write your answer as a vector. \text { (a) }\left[\begin{array}{cc} 3 & -2 \\ 5

& 1 \end{array}\right]\left[\begin{array}{l} x_{1} \\ x_{2} \end{array}\right]=\left[\begin{array}{l} 9 \\ 2 \end{array}\right] \text { (c) }\left[\begin{array}{cc} 1 & 3 \\ 2 & -2 \\ 0 & 4 \end{array}\right]\left[\begin{array}{c} x_{1} \\ x_{2} \end{array}\right]=\left[\begin{array}{l} 5 \\ 1 \\ 2 \end{array}\right] \text { (b) }\left[\begin{array}{ccc} 2 & -4 & 0 \\ 3 & 2 & -6 \end{array}\right]\left[\begin{array}{c} x_{1} \\ x_{2} \\ x_{3} \end{array}\right]=\left[\begin{array}{c} 6 \\ -5 \end{array}\right]

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