Consider the nonhomogeneous systems of linear equations in Exercises 36--39. For convenience, their general solutions are given. (a) Write down the corresponding homogeneous system and give its general solution. (b) Give a basis for this subspace of solutions to the homogeneous system and a written description of the subspace. (c) Give a written description of the subspace of solutions to the nonhomogeneous system. X1 + Xz + X3 = 2 2x1 - x2 - 4x3 = -5 x1 - x2 - 3x3 = 4 General solution (r - 1, -2r + 3, r)

o -= .2 o o z .10 the RBA up to here is .4000 = 1.28 o confidence interval is -1.29 ≤ z ≤ 1.28 - We want to derive the 1-confidence interval for ��� based on a SRS of n elements with n≥30 o = confidence level = given o by definition z we are 1-confident that 1- z ≤ z ≤ z o thus, we are 1-confident that xx̄ +/- z ���/√n sample error: |xx̄ xx̄ - another description of the CI is this: we areconfident that the sample error |xx̄-does not exceed the margin of error z ���/√n Example: give a 99% confidence interval of th