MATH 3A Study Guide - Midterm Guide: Solution Set, Linear Map, Augmented Matrix
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MATH 3A Full Course Notes
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E-mail address: there are 6 problems for a total of 100 points, present your work as clearly as possible. We know this set is independent i every column of. 3 (b) put the augmented matrix in reduced echelon form. We replace row 2 by row 1 minus row 2 to get echelon form. 1 1 1 obtain the reduced echelon form 1 1 0 2. 0 0 2 2 then replace row 2 by 1. 2 times row and nally replace row 1 by row 1 plus row 2 to (c) write the solution set in parametric form. Evidently x1 and x3 are basic, while x2 is free. In fact row 2 of the reduced echelon form tells us that x3 = 1 and row 1 tells us that x1 + x2 = 2, so x1 = 2 x2. Thus (cid:105) (cid:104) x1 x2 x3 is a solution i x1 x2 x3. 0 for some scalar t: express [ 1.
