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MATH 320 Quiz 2 Discussion Spring 2016 Tue, March 15 Name: Section: You have 15 minutes. Please write neatly and justify your answers. Answers without justication will receive no credit. 1 - Scratch paper - 2 SCORE: 1. Let 5 A = −5 4e 3 −9 −3 10 . 5e 9e (a) Calculate the determinant of /8 (2 + 2 + 1 = 5 pts) A. (b) Consider the column vectors of A: v1 5 = −5 , 4e v2 3 = −3 , 5e v3 −9 = 10 . 9e Determine whether they are linearly dependent or independent. (c) Consider the row vectors of A: w1 = 5 3 −9 , w2 = −5 −3 10 , w3 = 4e 5e 9e . Determine whether they are linearly dependent or independent. (1 + 2 = 3 pts) 2. You don't have to justify your answer for part (a). (a) True or False: If the vectors v1 , v2 , v3 in R3 are linearly dependent then every vector vj must be a linear combination of the other two vectors. (b) Let V be the set of all vectors a subspace of (x, y, z, w) in R4 4 R . 3 such that xy = zw. Determine whether or not V is