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Linear AlgebraHardRow Reduction & Rank

Row Reduction & Rank · Hard problem

Solve the system   1x−3y+1z=−3,−1x+1y+4z=1,3x+1y−1z=1\;1x - 3y + 1z = -3, \quad -1x + 1y + 4z = 1, \quad 3x + 1y - 1z = 1. What is zz?