MATH 240 Final: MATH240 fall1999finalmath232
31 Jan 2019
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December 15, 1999, 3:30 6:30 p. m. family name given name. 7: this exam has 14 questions on 16 pages. Please check to make sure your exam is complete. 100: write your nal answer in the answer box, in each question indicate how you obtain your answer. [4: (a) give a precise description of the kinds of row operation which are permitted in bringing a matrix to reduced row-echelon form. [6: find a basis for the set of solutions to the. X1 + 3x2 + 8x3 15x4 = 0 . By elementary row operations a is converted to. [2] (a) write down a basis for v . Rough work if required (use the back of page 2) [7: on a separate sheet circulated with this exam you nd the de nition of a vector space over r. [5: let v be a vector space over r. let w1 and w2 be two subspaces of v .
