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Unformatted text preview: Math 1502 D, October 21, 2009 1 School of Mathematics
Math 1502 Georgia Tech Calculus II, Section D
Quiz # 8
October 21, 2009 First Name : Last Name : −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1. Let C be a 2 × 2 matrix such that C C2 1 2 = −1 . Compute C 1 1 2 = 2 1 and (Hint : use the ﬁrst relation to simplify the other)
(Give the result here) C= Math 1502 D, October 21, 2009 2 2. Find the intersection of the two lines x − 3y = 1 and 4x + y = −1. x= y= 3. Let the following system of equations be considered x 1 + x 2 − x 3 + 2x 4 −x1 − x2 − 2x3 + 3x4 x 1 + x 2 − 4x 3 + 7x 4 x 1 + x 2 + 2x 3 + x 4 =1 = −1 =1 =0 (a) Give the augmented matrix of this system [Ab] = Math 1502 D, October 21, 2009 3 (b) Compute the reduced form of the of the augmented matrix of this system
(Give the result here and use the back pages for your calculations) Reduced form := (c) give a onetoone parametrization of the solution set Solution set := —————————————————————————–
Use this space below and the last page for your calculations Math 1502 D, October 21, 2009 4 Use this page for your calculations ...
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 Fall '07
 McClain
 Calculus, #, augmented matrix, School of Mathematics, Solution Set

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