MATH-205 Midterm: Bates MATH 205 121203johnson205exam
Document Summary
This take-home exam is due by 5 pm on friday, december 12. You may consult the textbook (or any other book) and any class notes and handouts, but please do not discuss any details of this exam with anyone except me! Please sign the appropriate place on the other side of this sheet and turn it in with your exam. You may ask me questions about the exam, but i reserve the right to give unsatisfying answers. Matrix multiplications and reduced row echelon forms may be done on matlab or a calculator, but please show all other work: (14 points) find the complete solution of the system, (24 points) let a = . 6 (a) find the lu factorization of a. Since a is symmetric, you should also be able to nd the factorization. 9 2 13 8: (8 points) in the previous problem your column space basis should consist of two vectors in r3.
