MATH 131 Midterm: MATH 131 UMass Amherst Umass_Exam2_2012
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If they are dependent, exhibit a linear dependence relation among them. 7: consider the vectors ~v1 = . 5 as a linear combination of the vectors ~v1, ~v2, ~v3: consider the vectors ~v1 = . If they are dependent, exhibit a linear dependence relation among them. (b) write the vector ~b = . 3 as a linear combination of the vectors ~v1, ~v2, ~v3: let a = . 16 reduced echelon form. (a) find a basis for the image of a. Why, or why not? (d) find a 1. (e) what is the image of the vector . Spring 2005: in each of the following, a vector space v and a subset s are given. Circle one answer: (a) v = r4, s = {( t, 4t, 3t, 0) | t is a real number} Yes no (b) v = r4, s = {( t, 4t, 3t, 1) | t is a positive real number}
