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Linear AlgebraHardRow Reduction & Rank

Row Reduction & Rank · Hard problem

Solve the system   3x+4y−3z=14,1x+0y+1z=0,2x−1y+4z=−4\;3x + 4y - 3z = 14, \quad 1x + 0y + 1z = 0, \quad 2x - 1y + 4z = -4. What is zz?