Consider the following Gauss-Jordan reduction: Find 1 5 63- 10 50 = 10 1 5 [0 1 5 ⠀⠀⠀⠀ 25 1 0 0 ++ 1 1 EA E₂ = 20 [0 2 10 50 -> 5 0 0 1 A Write A as a product A = E, ¹E, ¹E, ¹E¹ of elementary matrices: h 0 EEA 1 0 0 116416E E3 = 1 EEEA → [1 0 0 0 1 0 I 0 0 1 EEEEA E₁=

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