MATH 3A Study Guide - Midterm Guide: Linear Map, Solution Set, Linear Independence

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15 Oct 2018
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MATH 3A Full Course Notes
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MATH 3A Full Course Notes
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Monday january 30 2017, 00:00 00. 50 pm. There are 3 exercises, worth a total of 100 = 42 + 28 + 30 points. Provide computations and or explanations, unless stated otherwise. Exercise 1 (42 = 6 + 16 + 7 + 3 + 5 + 5 pts) 0 (c) (d) x3[ 2, 1, 1, 0]t + x4[0, 7, 0, 1]t + [0, 1, 0, 0]t . x3[ 2, 1, 1, 0]t + x4[0, 7, 0, 1]t . (e) no, free variables. (f) no, zero rows in rref. Exercise 2 (28 = 5 + 5 + 12 + 6 pts) Solution: (a) 2u1 u2 u3 = 0 (or a nonzero multiple of this relation). (b) recuded row echelon form of [u1, u2, u3] has no zero rows. (c) 0 (d) no, you get an inconsistent system, since a2u1 au2 au3 (cid:54)= a0 = 0.