MATH 024 Study Guide - Midterm Guide: Generalized Eigenvector, Main Diagonal, Diagonal Matrix
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Instructions: do not begin the exam until you are instructed to do so. You may write on the exam sheet, but only what is written in your bluebook will be graded. For each problem, you must show all work in order to receive credit. Partial credit will be given when appropriate, even if the (cid:133)nal answer is not correct, but an answer with no work shown will receive zero credit regardless of correctness. You may not use any text, notes, or calculators on this exam, and collaboration is not allowed: for the linear system. 2x (cid:0) y = 0: (5 points). =) x = y = 0 and thus a basis for the solution space is (cid:26)(cid:20) 0. 0 (cid:21)(cid:27) i. e. the trivial solution is the unique solution to the system (system is over-determined): a 1-kg mass is attached to a spring with restoring constant 4 n/m and placed on a horizontal surface.