MAT256 Study Guide - Final Guide: Laplace Expansion, Xm Satellite Radio, Linear Combination
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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) compute the determinant using cofactor expansion only. If so, prove it. show why it fails. Exam ii: (5 pts) write down the standard basis for subspace of the 2 2 upper triangular matrices. (10 pts) write the third column of the matrix as a linear combination of the rst two if. Exam ii: (5 pts) find the value(s) of for which the following determinant is 0: (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12) 1 (cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12)(cid:12: (10 pts) the n n matrix a has |a| = . Find the exact value of the following (do not give decimal answers). Every problem is worth 2 points: |a2at| , |a adj(a)| , if.
