Consider the following Gauss-Jordan reduction: Find E₁ = -3 0 1 0 1 -9 72 = 0 0 -3 0 1 E₂ = 0 1 -9 72 0 0 A -3 0 1 0 1 -8 1 0 0 E₁A #### , E3 = Write A as a product A = E₁¹E, ¹E¹E¹ of elementary matrices: ГО E4 = 0 0 1 0 E₂2E1A 1 -8 0 ГО 0 11 0 1 0 | 1 00 E3E2E1A [1 0 0 01 0 = I 1 Е4E3E₂E₁A

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