MATH136 Study Guide - Midterm Guide: Gaussian Elimination, Hyperplane, Transpose

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17 Sep 2018
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MATH136 Full Course Notes
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MATH136 Full Course Notes
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Bases of subspaces, dot product, cross product, projections. We can view a vector 12 as a point (1,2, . 1: canadian economists 1500, biology: 10 where the entries are the number of a certain animal of a given age class. We define addition by ( in math 136, we add vectors if they have same no. of elements) We define scalar multiplication by a real scalar by. 2: ( + + ) = + ( + ) 4: 0 , such that + 0 = , for any . 5: for each , there exists ( ) , such that. Solutionn: eg: what is the geometric interpretation of. = 1 (this is the part which says has infinitely many vectors). Since we will frequently need the set of all possible linear combinations of a set of vectors, we. } be a set of vectors in , we define the span of the set by make the following notation.