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Monthly Archives: February 2013
Linear Algebra and Its Applications, Exercise 2.5.15
Exercise 2.5.15. Suppose that MIT, Harvard, Yale, and Princeton compete in some sport, with MIT beating Harvard 350, Yale and Harvard playing to a tie, and Princeton beating Yale 76. What score differences in the other three possible games (MITYale, … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.14
Exercise 2.5.14. Suppose we have the block matrices with the following properties: and have rows and have rows and have rows and have rows and are square matrices What is the product of the two matrices, and what are the … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.13
Exercise 2.5.13. Given a graph with 4 nodes and 6 edges, what are the spanning trees for the graph (16 in all)? Answer: The graph has 4 nodes and 6 edges. Assume that the graph is as follows: edge 1 … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.12
Exercise 2.5.12. Let be a 12 by 7 incidence matrix for a connected graph. What are the following values? the rank of the number of free variables in the solution for the system the number of free variables in the … Continue reading
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