MATH 320 Midterm: MATH 320 UW Madison 320pExam3 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, calculators, phones, tablets, etc. , and please write legibly. Determine if the following statements are true or false, and circle true or false for an answer. No justi cation is necessary. (no partial credit. : (10 points). The set v of all those vectors (x, y, z) in r3 whose components satisfy z = x2 + y3 is a subspace. Two non-zero functions f (x) and g(x) are linear dependent if there exists a non-zero constant c such that f (x) = cg(x) for some x. If a and b are square matrices, then det(ab) = det(a) det(b). Linearly independent vectors in rn are pairwise orthogonal.
