Let R(A) = C(A^T); R(A) is called the row space of A.
Let
L = [ 1 0 0 ]
[ 2 1 0 ]
[1 -1 1 ]
and U= [ 1 2 1 1 ]
[ 0 0 2 -2]
[ 0 0 0 0 ]
If A = LU, given vectors that span R(A), C(A), and N(A).
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