Determine the inverse of the matrix: Hence, use the inverse to solve the simultaneous equations: 2 x+3 y-2 z=43 x +5 y-4 z=10 x+2 y-3 z=9 Use Gaussian Elimination to solve: x_{1}-2 x_{2}-x_{3}+3 x_{4}=4 2 x_{1}+x_{2}+x_{3}-4 x_{4}=3 3 x_{1}-x_{2}-2 x_{3}+2 x_{4}=6 x_{1}+3 x_{2}-x_{3}+x_{4}=8 Determine the four fourth roots of the complex number Z = 3 – 4j , using DeMoivre's theorem and express their values in cartesian form.

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