Question:
Minimal linearly dependent sets of columns
Given two matrices
{1 2 3 3 9
1 0 1 0 2
0 2 2 3 7
2 4 6 6 18}
{9 3 9 3
9 1 3 3
9 0 2 5
6 0 0 2
3 1 3 1}
for each one:
a) list all minimal linearly dependent sets of columns;
b) list all maximal linearly independent sets of columns;
c) list all minimal sets of columns which span all columns; a',b',c') The same for rows;
d) compute the rank.