# Monthly Archives: November 2012

## Linear Algebra and Its Applications, Exercise 2.5.10

Exercise 2.5.10. Given the incidence matrix draw the graph corresponding to the matrix, and state whether or not it is a tree and the rows are linearly independent. Demonstrate that removing a row produces a spanning tree, and describe the … Continue reading

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## Linear Algebra and Its Applications, Exercise 2.5.9

Exercise 2.5.9. Given the incidence matrix from exercise 2.5.6 (for the graph on page 113 with six edges and four nodes) and the diagonal matrix compute and . Describe how the diagonal and other entries in can be predicted from … Continue reading

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## Linear Algebra and Its Applications, Exercise 2.5.8

Exercise 2.5.8. State the dimensions of the four fundamental subspaces of the incidence matrix from exercise 2.5.6 (for the graph on page 113 with six edges and four nodes) and provide a set of basis vectors for each subspace. Answer: … Continue reading