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Unformatted text preview: exp( A ) to be exp( A ) = k =0 A k k ! . A Show that the series converges absolutely, so that this is a proper denition. B Find exp( A ) where A is given by A = 1 1 2 1 4 1 2 1 1 2 1 4 1 2 1 . 4 Suppose A and B are n n matrices. Show from rst principles that if B is nonsingular, then r ( BA ) = r ( AB ) = r ( A ) ....
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This note was uploaded on 10/03/2011 for the course STA 6246 taught by Professor Staff during the Spring '08 term at University of Central Florida.
- Spring '08