APPM 2360 Midterm: appm2360fall2016exam2
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Text books, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) crib sheet is allowed. Problem 1: (24 points) true/false (answer true if it is always true; otherwise answer false) No justi cation is needed. (a) the system of equations (cid:20)a b d e f(cid:21) ~x = (cid:20)1 c. 5 are vectors, and w = span{~v1, ~v2, ~v3, ~v4, ~v5}, then the dimension of w is always 5. (d) the set of all 4 4 matrices that have 0 entries on the diagonal is a vector space. Is this set a vector space? (remember to brie y justify your answer). (c) consider the set. Problem 4: (24 points) (a) consider the following two matrices: For each matrix, indicate 1) its rank and 2) whether its inverse exists.
