Linear transformations on matrices : the invariance of certain matrix functions
Supervisor: Dr. B. N. MOYLS Let Mm,n (F) denote the set of all mxn matrices over the algebraically closed field F of characteristic 0, and let Mn (F) denote Mn,n (F) . Let E₃ (A) denote the third elementary symmetric function of the eigenvalues of A; let Rk = {A € Mm,n (F) : rank of A = k} ; and le...
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| Language: | English |
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University of British Columbia
2011
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| Online Access: | http://hdl.handle.net/2429/35482 |