||'''Book'''|| Linear Algebra ||
 ||'''Author'''|| Gilbert Strang ||
 ||'''Edition'''||  ||

/* code_begins */

{{{
x,y,z=var('x,y,z')
A=matrix(QQ,[[1,1,1],[1,3,3],[1,3,5]])
b = vector([2,0,2])
C=A.augment(b.transpose())
print C
C.add_multiple_of_row(2,1,-1)
C.add_multiple_of_row(1,0,-1)
print C
z=C[2,3]/C[2,2]
y=(C[1,3]-C[1,2]*z)/C[1,1]
x=C[0,3]-C[0,2]*z-C[0,1]*y
print x,y,z
}}}

/* code_ends */

 * '''Solution by''': 
   * SHUBHAM MITTAL, STUDENT, IIT ROORKEE
   * AMIT TEWARI, STUDENT, IIT ROORKEE
   * RACHIT JHA, STUDENT, IIT ROORKEE
   * ARNAB BASU, STUDENT, IIT ROORKEE