Play Time with Determinants

نویسندگان

  • Tewodros Amdeberhan
  • Shalosh B. Ekhad
  • TEWODROS AMDEBERHAN
  • SHALOSH B. EKHAD
چکیده

Computing determinants is invariably in demand from all sorts of mathematical domains and needs neither cynical advocacy nor does it lack motivation. In this semi-expository article we wish to illustrate a few techniques that should receive ample attention due to their simplicity, elegance and effective nature. 0 Glossary of notations and conventions Throughout, almost all determinants have indices (i, j) ranging in {0, 1, . . . , n− 1}. Where there is no confusion, we omit to write them. m!! = 1!2! · · ·m! and (x)i = x(x+ 1) · · · (x+ i− 1) is the Pochhammer symbol. ( a b ) = 0 if either b < 0 or b > a.

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تاریخ انتشار 2010