Homework 4 - CSE 3380 Homework#4 Assigned Due Monday Monday...

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CSE 3380 – Homework #4 Assigned: Monday, February 15, 2016 Due: Monday, February 22, 2016 at 3:50pm (the end of class) Note the following about the homework: 1. You must show your work to receive credit. 2. If your submission has more than one page, staple the pages. Assignment: Process 1. For each of the following, determine if vector b is in span ( A ): a ) A = 1 2 3 4 5 6 7 8 9 , vector b = 1 2 4 , b ) A = 1 0 1 2 1 0 0 3 1 , vector b = 0 4 5 c ) A = 2 1 1 4 3 1 0 2 - 2 , vector b = 2 6 6 , d ) A = 2 1 1 4 3 1 0 2 0 , vector b = 2 6 6 2. For each of the following, find Nul ( A ): a ) A = 1 2 3 4 5 6 7 8 9 , b ) A = 1 0 1 2 1 0 0 3 1 , c ) A = 2 1 1 4 3 1 0 2 - 2 d ) A = bracketleftbigg 1 3 5 2 4 6 bracketrightbigg , e ) A = bracketleftbigg 1 2 1 4 0 2 3 - 1 bracketrightbigg
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Applications 3. (CS application: networks) This problem is based on an example in [ HP05 ]. Figure 1 shows a flow network in which each node has input values and output values. Examples could
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