数学建模案例研究线性代数在数学建模中应用举例

1、1基因间“距离”的表示1，A212i1i11234.的球面上.121212cosaa12a12.cosaa12187爱斯基摩人和班图人之间的基因“距离”最大.2Euler的四面体问题）,(2a1a2a3a21aa12aa13bc11bc22bc33b21bb12bb13a1a2a3c21cc1cc23bc11bc22bc33aa12a22aa23bb12b22bb23cc12c22cc23aa13aa23a23bb13bb23b23cc13cc.23c23OAOAa2b2c2,OAOBaa11112bb12cc,12OAOCaa13bb13cc,OBOBa2b21322c22OBOCaa23b

2、b23cc,OCOCa2b2c2.233332p2p2q2n22p2r2m22p2q2n22p2p2r2l22p2r2m22p2r2l22r2.p2q2n2p2p2V23)2.3动物数量的按年龄段预测问题年龄组：第一组，05(k)i，2，3）.(k)14x3x2321x4x21121xkx,23xk1,3x31x.4212010 x(k)0120101x(k)2x(k)343x100 x2x34x(k)LxL012043100000,x1000.1100004111xLx111xLxxLx0120012001204310007000001000500,100025004437000275000

3、5003500,25012504432750143750035001375.12587504无穷大时的极限状况得到.年），令(k)i更大年龄组人口的变化.(k)i1iibbiix,1(k)k111122nnai个年龄i组的每一个成员的女性后代的人数来表示的，通常可由统计资料来确定.)11)21)3223n11)n11)21)3)nn1n1)12123n1nn14企业投入产生分析模型0.55元的煤费及123XAXY,A)XY，（E-A设BA)（1，1，1）C.分别表示煤矿、电厂、铁路得到的总投入.c11c21c31c12c22c32c13c23c33y1y2y3x1x2x3d1d2d35交通流量

4、的计算模型5.1给出了某城市部分单行街道的交通流量（每小时过车数）.x2x8x3x4x7x1x1x7x10 x3x4x5x6x2x5x8x9x9x10 x61000.011100000000011000000000011000A1110000000000000000010001000000000000000010000110000000100000010110100.100010000080001001000000B001000010000000000000000000000000100000000000200000005001010080001100100000010400000016000

5、00000000000.xx15xx25x3xx45xx68xx78x9x0.10121,1,0,1,1,0,0,0,0,0,1,1,0,0,x1x4x6x7x5xx25x3x5x8x8x9x600.10 x.xk11k22x*,6小行星的轨道模型11）.在1122334455ax22axyay22ax2ay101234512345123412345ax22axyay22ax2ay1012345ax2axyay2ax2ay1，ax2axyay2ax2ay1，ax2axyay2ax2ay1，ax2axyay2ax2ay1，ax2axyay2ax2ay1.21222324252x112x222x3

6、32x442x5521222324252x12x22x32x42x52y12y22y32y42y5123451X2Y22DC0.,椭;椭;椭22)1234512231,2hacac7人口迁移的动态分析y,z,0097510001001000100y1000100yz1000100y10z259910975975197597511000100y1000100yz10001001000100y210z25z2599z252109751100097511000100yz.1000100y100z2599100k1Auk9751A1000A1000100,1000100AAk1177Ak1177y5z7k0zzk01219352000k5075120.0z)7.2y00z0070z0Ayzz00128常染色体遗传模型AAAAAAAAAAAAa)AAnnn,令x)x)nnn000a0b0c01.AAAAAAAAAAAAAAAAa1a1b20c.b1b2c,cn0.anbncnan1bn1c.n1anbncn1.我们利用矩阵表示(8.