MATH-205 Midterm: Bates MATH 205 032202johnson205exam
Document Summary
This take-home exam is due at class time on friday, march 22. (sooner is ne. ) 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 bottom 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 reductions to reduced row echelon form may be done on matlab or a calculator, but please show all other work: (16 points) find the complete solution of the system . 3 4 1 8 x1 x2 x3 x4. 20: (22 points) find a basis for each of the four subspaces associated with the matrix. 3. (14 points) the vectors orthonormal basis for it. Find an: (18 points) let ~v1 = , and let s be the subspace of r5 spanned by.
