MATH 461 Midterm: MATH461 BOYLE-M SPRING2006 0101 MID EXAM 2
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15 Feb 2019
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Math 461-01** spring 2006 exam 3. Answer each question on a separate sheet of paper. On each sheet, put (i) the question number, (ii) your name, (iii) your section leader"s name and (iv) your section meeting time. Box around your nal answer to each part. 2 2!. (e) compute the lu factorization of the matrix 1 3: (a) (8 points) let a = 3 2. Let e be the set of all vectors ax such that ||x|| 1. What is the area of e? (b) (12 points) let a be the matrix . Find a least-squares solution x to the equation ax = b. and let b = . 0 3: let w be the subspace of r4 with basis (1, 1, 1, 1) and (1, 0, 1, 2).