Matlab上机实验答案.docx

Matlab上机实验答案
实验一MATLAB运算基础
1.先求下列表达式的值，然后显示MATLAB工作空间的使用情况并保存全部变量。
(1)
>>z1=2*sin(85*pi/180)/(1+exp(2))

z1=

0.2375
(2)，其中
>>x=[21+2i;-0.455];
>>z2=1/2*log(x+sqrt(1+x^2))

z2=

0.7114-0.0253i0.8968+0.3658i
0.2139+0.9343i1.1541-0.0044i
(3)

>>a=-3.0:0.1:3.0;
>>z3=(exp(0.3.*a)-exp(-0.3.*a))./2.*sin(a+0.3)+log((0.3+a)./2)
(>>z33=(exp(0.3*a)-exp(-0.3*a))/2.*sin(a+0.3)+log((0.3+a)/2)
可以验证z3==z33，是否都为1）
z3=

Columns1through5

0.7388+3.1416i0.7696+3.1416i0.7871+3.1416i0.7913+3.1416i0.7822+3.1416i

Columns6through10

0.7602+3.1416i0.7254+3.1416i0.6784+3.1416i0.6196+3.1416i0.5496+3.1416i

Columns11through15

0.4688+3.1416i0.3780+3.1416i0.2775+3.1416i0.1680+3.1416i0.0497+3.1416i

Columns16through20

-0.0771+3.1416i-0.2124+3.1416i-0.3566+3.1416i-0.5104+3.1416i-0.6752+3.1416i

Columns21through25

-0.8536+3.1416i-1.0497+3.1416i-1.2701+3.1416i-1.5271+3.1416i-1.8436+3.1416i

Columns26through30

-2.2727+3.1416i-2.9837+3.1416i-37.0245+0.0000i-3.0017+0.0000i-2.3085+0.0000i

Columns31through35

-1.8971+0.0000i-1.5978+0.0000i-1.3575+0.0000i-1.1531+0.0000i-0.9723+0.0000i

Columns36through40

-0.8083+0.0000i-0.6567+0.0000i-0.5151+0.0000i-0.3819+0.0000i-0.2561+0.0000i

Columns41through45

-0.1374+0.0000i-0.0255+0.0000i0.0792+0.0000i0.1766+0.0000i0.2663+0.0000i

Columns46through50

0.3478+0.0000i0.4206+0.0000i0.4841+0.0000i0.5379+0.0000i0.5815+0.0000i

Columns51through55

0.6145+0.0000i0.6366+0.0000i0.6474+0.0000i0.6470+0.0000i0.6351+0.0000i

Columns56through60

0.6119+0.0000i0.5777+0.0000i0.5327+0.0000i0.4774+0.0000i0.4126+0.0000i

Column61

0.3388+0.0000i
(4)，其中t=0:0.5:2.5
>>t=0:0.5:2.5;
>>z4=(t>=0&t<1).*(t.^2)+(t>=1&t<2).*(t.^2-1)+(t>=2&t<3).*(t.^2-2.*t+1)
z4=

00.250001.25001.00002.2500
2.已知：

求下列表达式的值：
(1)A+6*B和A-B+I（其中I为单位矩阵）
(2)A*B和A.*B
(3)A^3和A.^3
(4)A/B及B\A
(5)[A,B]和[A([1,3],:);B^2]
>>A=[1234-4;34787;3657];
>>B=[13-1;203;3-27];
>>A+6*B

ans=

1852-10
467105
215349
>>I=eye(3);
>>A-B+I

ans=

1231-3
32884
0671
(2)
>>A*B

ans=

684462
309-72596
154-5241

>>A.*B

ans=

121024
680261