Unformatted text preview: f ( A ). This is called the spectral mapping theorem . To illustrate this with an example, generate a random 3 × 3 matrix, for example using A=randn(3) . Find the eigenvalues of ( I + A )( I-A )-1 by ±rst computing this matrix, then ±nding its eigenvalues, and also by using the spectral mapping theorem. (You should get very close agreement; any di²erence is due to numerical round-o² errors in the various compua-tions.) 1...
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This note was uploaded on 01/25/2012 for the course EE 263 taught by Professor Boyd,s during the Spring '08 term at Stanford.
- Spring '08