MATH 21 Study Guide - Midterm Guide: Linear Map, Augmented Matrix, Linear Independence
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2x1 x2 3x3 + x4 = 0 x1 3x2 2x3 2x4 = 0. 0 1: show that the span of the three vectors in the previous problem is a plane through the origin in r3. 3x1 + 5x2 2x3 + x4 = 0. 2x1 x2 3x3 + x4 = 0 x1 + 6x2 + x3. 2: show that the span of the three vectors in the previous problem is a plane through the origin in r3. 3x1 + 2x2 4x3 + x4 = 0. X1 x2 3x3 + x4 = 0. = 0: find an equation relating a and b such that the homogeneous linear system of equations represented by the following augmented matrix has in nitely many solutions if and only if your equation holds, are the three vectors. 0 2 2: show that the span of the three vectors in the previous problem is a plane through the origin in r3.
