MTH 162 Midterm: MTH 162 University of Rochester Exam1Fall 08162 sols
31 Jan 2019
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Friedmann tucker: the presence of calculators, cell phones, ipods and other electronic devices at this exam is strictly forbidden, show your work and justify your answers. You may not receive full credit for a correct answer if insu cient work is shown or insu cient justi cation is given: clearly circle or label your nal answers, on those questions for which it is appropriate. Math 235 (linear algebra: (7 points) find the general form for the solutions to the set of linear equations: x1 + x2 + 2x3 = 2 x1 + 2x2 + x3 = 5. Math 235 (linear algebra: (18 points) let a = . 9 (a) find a basis for the null space of la. (explain your answer. ) 0 0 0 0 0 (b) find a basis for the range of la. (explain your answer. ) (continued on next page) The row reduced form of a is .
