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Unformatted text preview: A , and nd a basis of K n consisting of eigenvectors of A . (b) If the characteristic of K is 2 or 5 , show that A is nilpotent, nd the Jordan canonical form of A , and nd an invertible S such that S 1 AS is in Jordan canonical form. 8.7.10. Let A denote the 10 by 10 matrix over a eld K with all entries equal to 1 , except the diagonal entries, which are equal to 4. (a) If the characteristic of K is not 2 or 5 , show that A is diagonalizable, nd the (diagonal) Jordan canonical form of A , and nd a basis of K n consisting of eigenvectors of A . (b) If the characteristic of K is 2 or 5 , nd the Jordan canonical form of A , and nd an invertible S such that S 1 AS is in Jordan canonical form....
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This note was uploaded on 12/15/2011 for the course MAC 1105 taught by Professor Everage during the Fall '08 term at FSU.
 Fall '08
 EVERAGE
 Algebra, Matrices

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