246427327 1014543443 34272162 24642732724610032 246132 解1014543443=1014 443=100×1014144 342721621342 62 习题3.5 1.计算下列行列式: 0 4-35 26 7253 2041000 2 解① 9-2-10 2-10 2|0100 13-37 -5100 4-3-26-5-3100 10-7 =13237=-5× 2.计算下列n阶行列式(n≥2) 00 0 a2342 721 621 1014 543 443 246 427 327 解 342 721 621 1014 543 443 246 427 327 = 342 100 621 1014 100 443 246 100 327 =100× 342 1 621 1014 1 443 246 1 327 =-294×10 5 习题 3.5 1.计算下列行列式: ① 3 2 7 1 4 1 2 6 2 5 1 3 1 2 0 4 ② 4 3 2 6 7 2 5 3 3 1 4 2 2 4 3 5 解 ① 3 2 7 1 4 1 2 6 2 5 1 3 1 2 0 4 = 3 4 7 13 4 9 2 10 2 1 1 11 1 0 0 0 = 4 7 13 9 2 10 1 1 11 =-726 ② 4 3 2 6 7 2 5 3 3 1 4 2 2 4 3 5 = 5 3 10 0 13 2 3 7 0 1 0 0 10 4 13 3 = 5 10 0 13 3 7 10 13 3 = 5 0 0 13 23 7 10 7 3 =-5× 23 7 7 3 =-100 2. 计算下列 n 阶行列式(n≥2): ① b a a b a b a b 0 0 0 0 0 0 0 0 0 0 0 0 ② 1 2 1 1 0 0 1 0 0 1 0 0 0 1 1 1 n a a a