MATH 320 Midterm: MATH 320 UW Madison 320pExam2 Fall 17
Document Summary
Do all the work on these pages; use reverse side if needed. For the true/false questions, no justi cation is necessary and no partial credit will be given. For the remaining questions, you must show all the details of your work in order to receive credit. No books, notes, or calculators, and please write legibly. Determine if the following statements are true or false. Write true or false next to each statement. No justi cation is necessary. (no partial credit. : (10 points). The set v of all (x, y, z) in r3 so that xyz = 1 is a subspace of r3: (10 points). If a nite set s of vectors is linearly independent, then any subset t of s is also linearly independent: (10 points). A 4 5 matrix a can have rank 5: (10 points). If u1, u2, , uk are pairwise orthogonal vectors in rn, then n k: (10 points).
