MATH 3A Study Guide - Midterm Guide: Solution Set, Elementary Matrix, Linear Map
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MATH 3A Full Course Notes
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Spring 2015 math 3a midterm practice problems: consider the following system of linear equations. 2x1 + 2x2 x3 = 2. 2: let a =(cid:2) 1 2 1 2. 1 2 2 1 (cid:3) and let (cid:126)b = [ 1. 2 ]. (a) write the solution set of a(cid:126)x = (cid:126)b in parametric vector form. (b) list three di erent vectors in the solution set such that none is a rescaling of any other. 4. (a) for which values of h (if any) is (cid:110)(cid:104) 1. 1 2 (cid:105)(cid:111) a linearly independent set of vectors? (b) choose a value of h for which the vectors are not linearly independent and write a linear dependence relation between the vectors. 4: for each of the following transformations, state whether the transformation is linear is not. (no justi cation needed. ) 1 + 2x2 x3, x1 + x2, x3 x1) (e) the projection of the r2 onto the y-axis.
