大连理工大学线性代数实验上机报告实验一首先随机生成五阶方阵AA=rand(5)A=0.81470.09750.15760.14190.65570.90580.27850.97060.42180.03570.12700.54690.95720.91570.84910.91340.95750.48540.79220.93400.63240.96490.80030.95950.6787>>B=rand(5)随机生成五阶方阵BB=0.75770.70600.82350.43870.48980.74310.03180.69480.38160.44560.39220.27690.31710.76550.64630.65550.04620.95020.79520.70940.17120.09710.03440.18690.7547>>b=rand(1,5)'随机生成列向量bb=0.27600.67970.65510.16260.1190计算A+B>>A+Bans=1.57250.80360.98110.58061.14551.64890.31031.66540.80330.48130.51920.82381.27431.68131.49541.56891.00371.43561.58741.64340.80351.06200.83471.14641.4334计算A-B>>A-Bans=0.0570-0.6085-0.6658-0.29690.16600.16270.24670.27580.0402-0.4099-0.26520.27000.64010.15020.20280.25790.9113-0.4648-0.00300.22460.46120.86780.76580.7726-0.0760计算A*B+B*A>>A*B+B*Aans=3.02882.30583.14392.72763.10342.90942.19673.00403.07373.25843.34222.14233.21043.57343.90494.14462.97944.36764.23544.91703.13501.77873.22893.11703.2815求Ax=b的解>>x=A\bx=-0.98502.43963.3124-5.65151.7085验证克莱姆法则>>c=A(:,1)c=0.81470.90580.12700.91340.6324>>d=A(:,2)d=0.09750.27850.54690.95750.9649>>e=A(:,3)e=0.15760.97060.95720.48540.8003>>f=A(:,4)f=0.14190.42180.91570.79220.9595>>g=A(:,5)g=0.65570.03570.84910.93400.6787>>B1=[b';d';e';f';g']'B1=0.27600.09750.15760.14190.65570.67970.27850.97060.42180.03570.65510.54690.95720.91570.84910.16260.95750.48540.79220.93400.11900.96490.80030.95950.6787>>B2=[c';b';e';f';g']'B2=0.81470.27600.15760.14190.65570.90580.67970.97060.42180.03570.12700.65510.95720.91570.84910.91340.16260.48540.79220.93400.63240.11900.80030.95950.6787>>B3=[c';d';b';f';g']'B3=0.81470.09750.27600.14190.65570.90580.27850.67970.42180.03570.12700.54690.65510.91570.84910.91340.95750.16260.79220.93400.63240.96490.11900.95950.6787>>B4=[c';d';e';b';g']'B4=0.81470.09750.15760.27600.65570.90580.27850.97060.67970.03570.12700.54690.95720.65510.84910.91340.95750.48540.16260.93400.63240.96490.80030.11900.6787>>B5=[c';d';e';f';b']'B5=0.81470.09750.15760.14190.27600.90580.27850.97060.42180.67970.12700.54690.95720.91570.65510.91340.95750.48540.79220.16260.63240.96490.80030.95950.1190>>x1=det(B1)/det(A)x1=-0.9850>>x2=det(B2)/det(A)x2=2.4396>>x3=det(B3)/det(A)x3=3.3124>>x4=det(B4)/det(A)x4=-5.6515>>x5=det(B5)/det(A)x5=1.7085计算A的行列式>>det(A)ans=-0.0250计算B的行列式>>det(B)ans=0.0647求A的逆>>inv(A)ans=3.1375-0.8078-1.8788-4.21945.1680-8.60763.53142.890713.7204-14.3665-6.28243.72203.613210.0084-12.419013.6173-6.8822-6.3938-23.528827.5825-2.52921.07292.41935.8870-7.2671求B的逆>>inv(B)ans=-0.44303.49971.3255-2.6005-0.46971.4047-1.16260.2422-0.4475-0.01190.7210-1.8189-2.06352.44340.0765-0.6122-0.18372.01650.0375-1.25640.0384-0.5157-0.73700.52671.7407求A的秩>>rank(A)ans=5求B的秩>>rank(B)ans=5求A*B的行列式>>det(A*B)ans=-0.0016求A*B的逆>>inv(A*B)ans=-74.064935.043331.2288121.5740-137.34426.8291-1.2718-2.2922-8.99518.697263.9620-31.4202-29.5061-105.6918122.3246-9.31965.74524.625911.9660-15.402811.9582-6.3521-3.3817-16.757418.6360>>rank(A*B)ans=5>>det(A)*det(B)ans=-0.0016验证（1）>>(A*B)'ans=0.95691.55661.62372.27322.25520.69220.94010.49690.93710.80900.94611.64921.68752.35632.38000.75071.58871.88401.94212.14811.13991.52122.21492.45452.4497>>B'*A'ans=0.95691.55661.62372.27322.25520.69220.94010.49690.93710.80900.94611.64921.68752.35632.38000.75071.58871.88401.94212.14811.139...
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