2- Use Gauss Elimination method to solve the following system: 4x1 + 5x2 + x3 = 2 3x1+2x2x3 = 4 i- 2x₁ - x2 + 2x3 = 10 X1-2x2-3x3 = 7 X₁-3x2 - 4x3 = 5. 3x₁ X2-2x3 = 1.

Find the LU factorization of and use it to solve the system 9. -3 - -6 -12 189 || A = 3 5 15 -3 3 5 5 14 -6 15 7 -12 5 14 7 18-0 X2 = -78 A = LU =

1. How many solutions does the following 3 × 3 system have? x₁ + 2x₂ + x3 = 8 2x1 + 2x2 + 2x3 = 4 3x₁ + x2 + x3 = 6.

Solve the system using either Gaussian elimination with back-substitution or Gauss-Jordan elimination. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, set x3 = t and solve for X₁ and X2.) X1 - 3x3 = -5 3x1 + x₂ - 2x3 = 1 2x1 + 2x2 + x3 = 1 (X1, X2, X3) = Need Help? Read It ►