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

/* code_begins */

{{{
a=var('a')
b=var('b')
c=var('c')
A=matrix([[1,a,a*a],[1,b,b*b],[1,c,c*c]])
A.add_multiple_of_row(2,0,-1)
A.add_multiple_of_row(1,0,-1)
A.rescale_row(1,(c-a))
A.rescale_row(2,(b-a))
A.add_multiple_of_row(2,1,-1)
print A
print A[0,0]*A[1,1]*A[2,2]
}}}

/* code_ends */

 * '''Solution by''': 
  * Swethakumari G, student,SNIST
  * Radha Bhukya, student, SNIST
  * Usha Rani,student, SNIST