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hw6_solutions

# hw6_solutions - 4.23 Page 162 last paragraph section 4.2.2...

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Review Questions: 4.1 True 4.2 False 4.3 False: the eigen vector doesn’t always have to be unique, there can be geometric multiplicity 4.4 False: not in case of defective matrices 4.5 True 4.6 True 4.22 For an nxn matrix A the equation given by det(A - λI) = 0 is the characteristic polynomial of degree n in λ, and its roots are the eigen values of A.

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Unformatted text preview: 4.23 Page 162 last paragraph, section 4.2.2 of the textbook (Heath). 4.28 Ty is an eigenvector of A 4.30 No, this fact does not provide a generally effective method. Read Page 162 the four bulleted points. 4.36 Read Page 187, section 4.5 last paragraph of the page, the three bulleted points. Exercises: Computer Problems:...
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