Unformatted text preview: I . (12) If A and B have the same eigenvalues and eigenvectors then A = B . (13) If A is similar to B and B is similar to C then A is similar to C . (14) If A is an m × n matrix, then A and A T have the same nullity. (15) If A and B are n × n matrices then det( AB ) = det( BA ). (16) If A is Hermitian, then A + iI is invertible. (17) If U is unitary, then U + 2 I is invertible. (18) An invertible matrix can’t be similar to a singular matrix. (19) If A and B are square matrices then trace( AB ) = trace( BA ). (20) If A is similar to B then e A is similar to e B . Gerardo Laﬀerriere, November 30, 2009...
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This note was uploaded on 10/16/2011 for the course MTH 343 taught by Professor Lafferier during the Spring '09 term at Portland State.
 Spring '09
 Lafferier
 Algebra, Matrices

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