A linear system of the formAx = 0is called homogeneous. Justify the following facts: a. All homogeneous systems are consistent. b. A homogeneous system with fewer equations than unknowns has infinitely many solutions. c. If.? i and x2 are solutions of the homogeneous system A jc = 0, then Jc i + x2 is a solution as well. d. If x is a solution of the homogeneous system Ax = 0 and k is an arbitrary constant, then kx is a solution as well.

Syllabus This class is 9A and 9B = lots of homework Mike Curtis, c urtism@math.ucr.edu Office Hours: Tue 9:4011:30 a.m., Wed 910 am, Thur 9:4010:30 a.m. Pierce 2231 (or 2438) Grading: Midterm 1 = 20% R 10/20/16 Midterm 2 = 20% T 11/15/16 HW = 5% WebAssign Discussion = 20% (Quiz or Worksheet) Final Exam = 35% 12/8/16 811 a.m. No calculators allowed at all, even on tests, The teacher kinda sucks, so make sure to enforce and do not procrastinate = B+ average historically oh no = 5 sections a week (15 lectures) Friday note due dates for homework Make sure to have good timemanagement SI (is a student, looks korean) = additional help, study groups, extra information 1.2 Functions & Graphs (No vocab quizzes) A relation is a function if each input has ex