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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1205.0. "unitary matrix's det = 1??" by ARCANA::ESTRELLA () Wed Mar 07 1990 12:11

A question from a linear algebra problem set I've got. Any ideas.


    a matrix B in M nxn(C) is unitary.  Prove |det(B)| = 1

    			_   ______         _      ___
    Hint Prove that det(B) = det(B) where (B)ij = Bij


Dennis
T.RTitleUserPersonal
Name
DateLines
1205.1AITG::DERAMODan D'Eramo, nice personWed Mar 07 1990 15:293
	What is the definition of "unitary"?

	Dan
1205.2define unitaryARCANA::ESTRELLAWed Mar 07 1990 16:099
    
                                 *                *      ___
    a B matrix is unitary when BB  = I ,  where (B )ij = Bij
    the complex conjugate of Bij.
    
    If this is not clear let me know.
    
    Dennis
    
1205.34GL::GILBERTOwnership ObligatesWed Mar 07 1990 18:5939