The problem(s) to turn in are below. Please organize your work, justify your steps, and write in complete sentences with correct punctuation. Once your finish these problems, please follow the directions in the Canvas assignment to submit them. If you have any questions (about the math or writing or submission process or anything), please let me know!
Problem 1: Let $a,b,c,d,m,n$ be arbitrary real numbers, and assume that $ad-bc \neq 0$. Using row reduction, prove that the linear system below (given as an augmented matrix) has exactly one solution.
$\left[\begin{array}{cc|c} a & b & m \\ c & d & n\end{array}\right]$