Gaussian elimination to find the solution

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Reference no: EM133350792

Question 1. Prove that for any matrices A, B ∈ F^nxn, tr(AB) = tr(BA).

Question 2. Use Gaussian Elimination to find the solution set for the linear system

x₁ + 2x₂ - 4x₃ = 10

2x₁ - x₂ + 2x₃ = 5

x₁ + X₂ - 2x₃ = 7.

Reference no: EM133350792

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