A:=Matrix([[ 1, 1, 1, 2, 6],
[ 2, 3,-2, 1,-3],
[ 3, 5,-5, 1,-8],
[ 4, 3, 8, 2, 3]]);
v1:=Vector([1,2,3,4]); v2:=Vector([1,3,5,3]); v3:=Vector([2,1,1,2]);
w1:=Vector([1,0,0,-3]); w2:=Vector([0,1,0,17]); w3:=Vector([0,0,1,-9]);
F:=<v1|v2|v3>;
G:=<w1|w2|w3>;
H:=<F|G>;
linalg[rank](F); linalg[rank](G); linalg[rank](H);
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