MATH 240 Lecture Notes - Lecture 35: Linear Combination, Augmented Matrix, Elementary Matrix
25 Jan 2019
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If you need more space, please use the back of a previous page. Calculators and other electronic devices are not permitted. A one page sheet of handwritten notes (on both sides) is allowed. Note, the symbol r denotes the set of real numbers. You will receive one mark for each correct answer, no mark for no answer and lose one mark for each incorrect answer. In the following u, v, w are vectors in rn and a, b, c are matrices in rn n. ) if ||u|| = 0 then u is the zero vector. ) u + v = v + u. ) u (v + w) = v u + w u. ) if u v = 0 and v w = 0 then u w = 0. ) if a2 is invertible then a is invertible. ) if a and b are invertible then (ab) 1 = a 1b 1.
