Problem 1.
(i) For a general real number r, reduce the following augmented matrix into
row-echelon form (i.e., until you have an upper triangular matrix).
[[2,4,10,0],[1,3,0,0],[0,1,r,1]]
(ii) For which real numbers r is the linear system represented by this augmented
matrix consistent?
(iii) Extra-credit. (5+ points) Provided r is as found in (ii) making the
system consistent, describe the solution of the system as a vector by using back
substitution.
Must do all 3 parts. make sure every step is written out and have a good explanation with it please