#FOR A2

A2=matrix([[0,1],[1,0]])
A2.det()

#DET IS -1

#FOR A3

A3=matrix([[0,1,1],[1,0,1],[1,1,0]])
A3.det()

#DET IS 2

#FOR A4

A4=matrix([[0,1,1,1],[1,0,1,1],[1,1,0,1],[1,1,1,0]])
a4=A4.det()

#DET IS -3

#FOR A5

A5=matrix([[0,1,1,1,1],[1,0,1,1,1],[1,1,0,1,1],[1,1,1,0,1],[1,1,1,1,0]])
a5=A5.det()

#DET IS 4
.
.
.
.
.
BASED ON ABOVE RESULTS WE CAN PREDICT THE VALUE OF "An" 

as follows:

          if n is even then det is "-(n-1)"
          if n is odd then det is "(n-1)"

Strang-4.3-10-U (last edited 2010-12-18 07:06:49 by 10)