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

/* code_begins */

{{{
(i)
a=var('a')
b=var('b')
c=var('c')
A=matrix([[0,a,0],[0,0,b],[c,0,0]])
A.swap_rows(2,0)
A.swap_rows(1,2)
print A
print A[0,0]*A[1,1]*A[2,2]
(ii)
a=var('a')
b=var('b')
c=var('c')
d=var('d')
B=matrix([[0,a,0,0],[0,0,b,0],[0,0,0,c],[d,0,0,0]])
B.swap_rows(0,3)
B.swap_rows(1,3)
B.swap_rows(2,3)
print B
print B[0,0]*B[1,1]*B[2,2]*B[3,3]
(iii)
a=var('a')
b=var('b')
c=var('c')
C=matrix([[a,a,a],[a,b,b],[a,b,c]])
c=C.echelon_form()
print c[0,0]*c[1,1]*c[2,2]
}}}

/* code_ends */

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