Okie here is it.
Using this program called MatLab...create a matrix that looks like
this:
2 1 0 0
1 2 1 0
0 1 2 1
0 0 1 2
It will take an input, n and when n=4, the matrix will look like
that. But it will retain that characteristic (the main diagonal
will always be filled with 2, and the diagonals beside the main
diagonal be filled wif 1's, the rest are all 0's) even when you put
in random number as n. For instance when n=8, it will look like
this:
2 1 0 0 0 0 0 0
1 2 1 0 0 0 0 0
0 1 2 1 0 0 0 0
0 0 1 2 1 0 0 0
0 0 0 1 2 1 0 0
0 0 0 0 1 2 1 0
0 0 0 0 0 1 2 1
0 0 0 0 0 0 1 2
See what I mean now? Actually I got it already but the thing that
baffles me is when I generate the matrix when n=2000, the main
diagonal will sumhow change from 2 to 1.999999. I have no idea why
that happens. The prof has no idea either. So if anyone knows and
wanna help....
i.c.y
