Problem1:Find the augmented matrix for the following system of linear equations 
> ;
v + 2 w  y + z = 1 3 w + x  z = 2 x + 7 y = 1

Since there are 3 equations and 5 unknowns (v,w,x,y,z) the augmented matrix must be 3 rows and (5+1) columns. In maple, 
> matrix(3,6,[1,2,0,1,1,1, 0,3,1,0,1,2, 0,0,1,7,0,1]);
[1 2 0 1 1 1] [ ] [0 3 1 0 1 2] [ ] [0 0 1 7 0 1]