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finalreview

# finalreview - Math 1b Final Review Questions Due 3:00pm...

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Math 1b — Final Review Questions Due 3:00pm, Monday, March 9, 2009 We will discuss some of these topics on the review session Wednesday. You don’t have to do all these problems; just look them over. You can also raise other topics and questions. We won’t have time to talk about everything, though. 1. Use the method of the proof of Theorem 1 in the notes on isometries to write the rotation Q = ± ab ba ² (here a 2 + b 2 = 1) as the product of two reFections. There will be many solutions. To ensure that we all get the same answer, take z =[1 , 0] > . 2. Here is an LP problem: Maximize 7 x 3 y + z subject to ( x + y z =7 2 x +3 y 4 z 20 x 0 ,y 0 ,z 0 (i) Convert this to an LP problem in Standard ±orm. Give A , b , c . (ii) Convert this to an LP problem in Dual Standard ±orm. Give A , b , c . (iii) Convert this to an LP problem in Canonical ±orm. Give A , b , c . (iv) Convert this to an LP problem in Dual Canonical ±orm. Give A , b , c .

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finalreview - Math 1b Final Review Questions Due 3:00pm...

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