Question: Let A be a 3 3 matrix. Show that if A is the matrix obtained from A using any of the operations (E 1

Let A be a 3 × 3 matrix. Show that if A̅ is the matrix obtained from A using any of the operations (E₁) ↔ (E₂), (E₁) ↔ (E₃), or (E₂) ↔ (E₃), then det A̅ = −det A.

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