document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=737389>Question 737389</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without expanding evaluate the following determinants\r<BR>\n" );
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document.write( " | 1 w w2 |<BR>\n" );
document.write( " | w w2 1 |<BR>\n" );
document.write( " | w2 1 w |   where w is a cube root of unity.  </SPAN>\n" );
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document.write( " | 1 w w2 |<BR>\n" );
document.write( " | w w2 1 |<BR>\n" );
document.write( " | w2 1 w |    by operating r1=r1+r2+r3 & take 1+w+w2 common<BR>\n" );
document.write( " 1+w+w2=0 so the determinant=0 </SPAN>\n" );
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