True-False Review
For Questions (a)-(l), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem in fact from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.
(a) Every eigenvector is a generalized eigenvector.
(b) The number of Jordan blocks in the Jordan canonical form of a matrix
(c) For every square matrix
(d) If
(e) A generalized eigenvector of
(f) The dimension of
(g) Every square matrix
(h) If
(i) The size of a Jordan block is equal to the number of
(j) If
(k) Similar matrices must have the same Jordan canonical form, up to rearrangement of the Jordan blocks.
(l) If
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Chapter 7 Solutions
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