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Subject: Help with an exercise
Date: Thu, 20 May 2010 22:10:04 +0000 (UTC)
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Could anyone solve this problem? I'd be very grateful if someone could find the solution...

I have a matrix 16x16 and I have to make one other matrix with all the combinations of 8x8 matrixes.

For example (in a smaller scale):
It is given the matriz A=
 x1 x2 x3 x4
x5 x6 x7 x8
x9 x10 x11 x12
x13 x14 x15 x16

and I want to do another matriz with all the combinations of matrixes 2x2. It will be these two matrixes:

1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0      x     x1
0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0            x2
0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0            x3
0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0            x4
0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0            x5
0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0            x6
0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0            x7
0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0            x8
0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1            x9
                                                       x10
                                                       x11
                                                      x12
                                                      (...)
                                                      x16

Maybe there are more possible combinations that those ones I did...
The idea is to create a function that gives me the first matrix (the one with zeros and ones) but to a matrix A 16x16 (can't be made manually).

Thank you