Consider the following Gauss elimination: [1 0 0 0 -9 0 A → 0 0 1 E₁ A →→ 1 0 0 1 0 0 What is the determinant of A? det (A) = E₂ 0 0E₁A → -5 1 0 3 0 10 E₂E₁A → 00 1 E3 0 0 1 0 [1 5 1 0 E3E2E₁A = 0 00 0 1 –4 -4

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