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Answer to Question #25831 in Matrix | Tensor Analysis for Paix

Question #25831
Matix A 4 3 1 0 Matrix L 1 0 0 0 Matrix U 4 3 1 0
-1 2 1 4 -1/4 1 0 0 0 11/4 5/4 4
0 2 1 1 0 8/11 1 0 0 0 1/11 -21/11
1 1 2 1 1/4 1/11 18 1 0 0 0 35

A = L.U How to prouve that A is invertible and to deduce its determinant?
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