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| ``Re: Proving the Null(A)=Null(U)''
by cayley on 2009-11-05 18:13:26 |
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| I assume this is in connection with the factorization A=LU. The standard convention is that L is unit lower triangular and therefore invertible. If L was not invertible the statement wouldn't be true.
Here's half the proof. If x is in Nul U then Ux=0. It then follows that LUX=0 and so Ax=0. x is therefore in Nul A. |
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