lingo矩阵运算.ppt

1、矩阵和向量的输入X=12345%或X=1,2,3,4,5X=12345Y=1;2;3;4;5Y=12345A=123;456;789A=123456789,X=1:5X=12345Y=1:2:10Y=13579Z=linspace(1,10,3)%等差数列Z=1.00005.500010.0000,A=123456789A=1234567892pi/2;sqrt(3)3+5ians=2.00001.57081.73213.0000+5.0000i,zeros(3)ans=000000000zeros(3,2)ans=000000,ones(3)ans=111111111eye(3)ans=10

2、0010001,rand(3)%01均匀分布的随机矩阵ans=0.95010.48600.45650.23110.89130.01850.60680.76210.8214randn(3)%标准正态分布的随机矩阵ans=-0.43260.28771.1892-1.6656-1.1465-0.03760.12531.19090.3273rand(2,3)ans=0.82140.61540.92180.44470.79190.7382,vander(1;2;3)%范德蒙德矩阵ans=111421931pascal(5)%Pascal矩阵ans=1111112345136101514102035151

3、53570diag(123)%对角矩阵ans=100020003,magic(3)%魔方ans=816357492magic(4)ans=16231351110897612414151,A=120;305;789;Aans=1372080593*Aans=3609015212427det(A)ans=-24inv(A)ans=1.66670.7500-0.4167-0.3333-0.37500.2083-1.0000-0.25000.2500,vec,val=eig(A)%特征值和特征向量vec=0.06420.83420.39640.3773-0.1807-0.85640.9239-0.52

4、100.3308val=12.75360000.5668000-3.3203poly(A)%特征多项式ans=1.0000-10.0000-37.000024.0000roots(poly(A)ans=12.7536-3.32030.5668,A=120;305;789;orth(A)标准正交基ans=-0.1048-0.43630.8937-0.33390.86190.3817-0.9368-0.2584-0.2360,A=135;249;274A=135249274B=320;215;8113B=3202158113AB=A*BAB=4960308610747525547A.*Bans=3604445167712,A=123;456;789A=123456789rref(A)%化行简化阶梯形ans=10-1012000,X=13;24X=1324Y=32;811Y=32811XY%X(-1)Yans=6.000012.5000-1.0000-3.5000X.Y%元素对除ans=3.00000.66674.00002.7500,A=123;456;780;b=1;2;3;c=A*bc=143223A2ans=303642668196102126150A.2ans=14916253649640,A=123;456;7