1. Write the following system of equations as an augmented matrix. 3x +2y-4z+w=1 5y+z=2w = -2 2x-y=4 x+y+z+w=-1 2. What size does the above augmented matrix have? Enter this in the website. 3. Enter the values from your augmented matrix into the website and select "Calculate." Write the reduced matrix below. (This website gives you all the steps you would need to compute the Gauss-Jordan reduction by hand.) 4. Interpret the reduced matrix to give the solution(s) to the system. X= y= 2= W=