MAT256 Study Guide - Final Guide: Gaussian Elimination, Inverse Trigonometric Functions, Orthogonalization
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Instructions: you have the entire class session to complete the exam. Only scienti c non- calculus enabled calculators will be allowed. Do not approximate your answers unless explicitly told to do so. I. e- answer 2 not 1. 41 you must show all work to receive credit. Incoherent or illegible answers will count as incomplete: (5 pts) explain why s = ("1 0. 3 #) is not a basis for m2(r). 4: (5 pts) find a basis for the space of solutions to. 2x1 + 4x2 6x3 = 0 x1 x2 x3 = 0. 3: (4 pts) without using row reduction, nd the transition matrix from b to b. Exam iii: (10 pts) let w sp. V where v is an inner product space. Show that is a subspace of v . W = {v v |hv, wi = 0 for all w w: (10 pts) let v be an inner product space with s = {v1, .
