MATH115 Study Guide - Quiz Guide: Augmented Matrix, Burh, Dot Product
2 Dec 2014
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Math 115 fall 2012 lab 3 solutions: {10 marks} solve the following system of linear equations, and determine its general solution. X1 + 2x2 2x3 3x4 x5 = 7 x1 2x2 + x3 + 4x4 + x5 = We start with the augmented matrix and reduce it to rref. There are parameters for x2, x4, x5, so let x2 = s, x4 = t, x5 = u. 1 + 2s 5t u s. X4 such that the dot product of this vector with each of the. X1 x2 x3: {6 marks} determine the set of all vectors in r4 that are orthogonal to each vector in. We are looking for vectors three vectors is 0. So we have the following system of equations: x1 x2 x1 x2 x3. This gives us the augmenting matrix and rref. Let x3 = s, x4 = t, and the solution set is (cid:126)x =
