MATH 1160 Midterm: Math 116 Test 2 Fall 2016

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Student #: this is a 60 minute test. Do not start until instructed: please ll out your personal details above. Once the examination starts ll out your solutions in the spaces provided: you may quote results from lecture notes without proof, unless asked to do other- wise. But notes or books are not permitted during the exam: give su cient working as solutions with no justi cation will receive little or no credit, you may use a calculator, but not a graphing calculator" that supports matrix algebra. 1. (6 points) (a) without applying a cofactor expansion, or elementary row/column operations, evaluate. 2d + b 2c + a(cid:12)(cid:12)(cid:12)(cid:12) a b. 3: (7 points) (a) using a cofactor expansion along the third row, nd the values of x so that (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) (b) from our lecture notes we know that.