IV. Determine the non-trivial solutions of the system of homogeneous equation, if it exists: x₁ + 2x₂ + 3x3 x4 = 0 2x₁ + 4x25x3 + 2x4 = 0 6x₁ - x₂ + 2x3 - 4x4 = 0 3x₁7x₂ + 4x3 - 5x4 0 1. Solve using Gaussian Elimination and find three unique representative elements of the solutions. 2. Verify your solution using MATLAB.

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Q: Determine the non-trivial solutions of the system of homogeneous equation, if it exists: x₁ + 2x₂ +…

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A: As per the guidelines I am answering only one questions.

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