MATH-205 Midterm: Bates MATH 205 111502johnson205exam
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This take-home exam is due on friday, november 15 by 5 pm. (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 reduced row echelon forms may be done on matlab or a calculator, but please show all other work: (16 points) find the complete solution of the system . 25: (20 points) find a basis for each of the four subspaces associated with the matrix. Find an orthonormal basis for it: (18 points) let ~v1 = , and let s be the subspace of r4 spanned by.
