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Unformatted text preview: MAS 3105 Dec 13, 2006 Final Exam and Key Prof. S. Hudson 1) [10pts] Solve for X , given XA + C = X and A = 2 1 2 C = 1 1 5 2) [10pts] Use a Wronskian to show that these vectors are LI in C [ π,π ]: e x , e x , e 2 x . 3) [10pts] You are a corporate spy hired to investigate student preferences in FIU math classes. After intercepting several encrypted text messages, you discover their coding matrix A , and most of their decoding matrix B . Find the missing entry of B and decode the message: 21 54 42 64 155 106 25 63 38. At the end, as usual, ‘1’ means ‘a’. Also, ‘0’ means ‘blank’, etc [so, 0 thru 26 = blank, abcde fghij klmno pqrst uvwxy z] A = 1 2 1 2 5 3 2 3 2 B = 1 1 1 2 1 4 1 4) [10pts] You are given three data points for ( x,y ): (0 , 1) , (3 , 4) and (6 , 5). (You may put these into a chart). Find the best least squares fit by a linear function, y = c + c 1 x ....
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This note was uploaded on 12/26/2011 for the course MAS 3105 taught by Professor Julianedwards during the Spring '09 term at FIU.
 Spring '09
 JULIANEDWARDS

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