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from the third row, which gives: [ 3 2 -1 | 1 ] [ 0 -6 6 | -4 ] [ 0 0 -1.4| 1.7 ] The last row represents the solution to the system: x=1.42, y=0.33, and z=-1.21. LU Decomposition The LU decomposition method is used to decompose a matrix into two triangular matrices, which are then used to solve a