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Question $11$$\newline$$0 / 10$ pts$\newline$$5$$\newline$$98$$\newline$Details$\newline$Solve the system of linear equations using elementary row operations on an augmented matrix. This problem will have you enter intermediate steps of the solution.$\newline$$\left\{\begin{aligned}2 x+3 y+z & =6 \\x & =1 \\y+3 z & =-4\end{aligned}\right.$$\newline$(a) Fill in the corresponding augmented matrix. The rightmost column represents the constant values from the linear equations.$\newline$(b) Use elementary row operations on the augmented matrix in part (a) to make a matrix of the form$\newline$$\left[\begin{array}{llll}1 & a & b & c \\0 & 1 & d & e \\0 & 0 & 1 & f\end{array}\right],\left[\begin{array}{llll}1 & a & b & c \\0 & 1 & d & e \\0 & 0 & 0 & 1\end{array}\right],\left[\begin{array}{llll}1 & a & b & c \\0 & 0 & 1 & d \\0 & 0 & 0 & 0\end{array}\right], \text { or }\left[\begin{array}{llll}1 & a & b & c \\0 & 0 & 0 & d \\0 & 0 & 0 & 0\end{array}\right] *$$\newline$$\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$ $\square$