x00?1x0?00an?10?1x?00?????000x0000?1xa20000?1a11.Dn??00an????
an?2?a3
anan?12.Dn?1??a1
(a?1)n(a?1)n?1?(a?1)1(a?n)n(a?n)n?1? (a?n)16
?????ab0?0000ab?0003.Dn????????
000?0abb00?00a
三、用克莱姆法则解下列方程组
?x1?x2?x3?x4?5?x?2x?x?4x??2?2341.?1
?2x1?3x2?x3?5x4??2??3x1?x2?2x3?11x4?0
7
2.求三次多项式f?x?,使满足f??1??0,f?1??4,f?2??3,f?3??16。
四、 证明
a?b1Dn?0?00aba?b1?000ab?00????000?100an?1?bn?1?,a?b. ?a?baba?b0a?b??a?b(提示:可用数学归纳法证明)
8