gf(2) Find null basis vectors of M
M = 0
Augment M with identity (I) of same size
M = 0 1
M expressed in convenient bit depth
M = 00000000000000000000000000000001
Transform M into row reduced echelon form (rref)
M = 00000000000000000000000000000001
M in augmented form
M = 0 1
Highlight null basis vectors (where left side of row is zero)
M =
0 1
Null basis vectors
nv
0
= b00000000000000000000000000000001
nv
0
= 0x00000001
nv
0
= 1
See also:
http://math.stackexchange.com/questions/1612616/how-to-find-null-space-basis-directly-by-matrix-calculation
http://people.tamu.edu/~aestrugo/data/null_space.pdf