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Problem 3 [2 pts]: Given the equations X1 + x2 x3 = -3 6x1 + 2x2 + 2x3 = 2 - 3x1 + 4x2 + x3 = 1 (1) Solve the above system of equations by hand using the method of nave Gauss Elimination. (2) Realize that by performing the nave Gauss Elimination without partial pivoting, you have performed an LU decomposition of the coefficient matrix. Write out L and U. (3) Solve the above system of equations by hand using the method of Gauss Elimination with Partial Pivoting. Problem 3 [2 pts]: Given the equations X1 + x2 x3 = -3 6x1 + 2x2 + 2x3 = 2 - 3x1 + 4x2 + x3 = 1 (1) Solve the above system of equations by hand using the method of nave Gauss Elimination. (2) Realize that by performing the nave Gauss Elimination without partial pivoting, you have performed an LU decomposition of the coefficient matrix. Write out L and U. (3) Solve the above system of equations by hand using the method of Gauss Elimination with Partial Pivoting