MATH 1107 Final: MATH 1107 Final Exam
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Disclaimer: this practice exam does not intend to cover all topics that may appear on the nal exam. Any topic covered during the course may be tested on the nal. Solving only these problems does not constitute su cient preparation for the nal. Let p be the plane passing through the point (1, 1, 0) with normal vector . Which of the following points is in p ? (a) ( 1, 1, 1) (b) ( 1, 2, 0) (c) ( 1, 1, 3) (d) (3, 4, 1) (e) (1, 2, 1) 0 (a) (b) the line through (4, 2, 6) in the direction u = (c) the plane x + 2y 5z = 0. (d) the span of u = . 3 (e) the set of solutions to the linear system ax = 0 where a = . Which one of the following matrices is invertible? (only one is invertible) (a) . 2 3 (b) (c) (d) (e) .