Consider the following Gauss-Jordan reduction: 1 01 ΓΟ 1 0 [0 1 07 [1 ⠀⠀⠀⠀⠀ 1 03 0 0 1 E₂E₂A 9 2 27 001 A 9 0 27 00 1 E₁A 3 0 1 0 001 E₂E₂E₁ A [1 0 1 0 001 E₁E₂E₂E₁ A = I

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