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Monthly Archives: October 2012
Linear Algebra and Its Applications, Exercise 2.5.7
Exercise 2.5.7. Suppose that the incidence matrix from exercise 2.5.6 (for the graph on page 113 with six edges and four nodes) represents six games among four teams, and that the score differences for the six games are through . … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.6
Exercise 2.5.6. Determine the incidence matrix for the graph on page 113 with six edges and four nodes, as follows: Edge 1 from node 1 to node 2, edge 2 from node 1 to node 3, edge 3 from node … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.5
Exercise 2.5.5. Given the incidence matrix from exercise 2.5.1 and the diagonal matrix compute and show that the 2 by 2 matrix resulting from removing the third row and third column is invertible.. Answer: From exercise 2.5.1 we have the … Continue reading
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Linear Algebra and Its Applications, Exercise 2.5.4
Exercise 2.5.4. Given the incidence matrix from exercise 2.5.1 show that is symmetric and singular, and determine its nullspace. Show that the matrix obtained by removing the last row and column of is nonsingular. Answer: From exercise 2.5.1 we have … Continue reading
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