MATLAB刘卫国版本Word文档格式.docx
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0.34780.42060.4841
Column49through51
0.53790.58150.6145
Column52through54
0.63660.64740.6470
Column55through57
0.63510.61190.5777
Column58through60
0.53270.47740.4126
Column61
0.3388
t2⑷z0t1t2411t2,其中t0:
0.5:
2.5
t22t1,2t3程序为>
t=(0:
2.5);
z4=(t>
=0&
t<
1).某(t.^2)+(t>
=1&
2).某(t.^2-1)+(2<
=t&
3).某(t.^2-2.某t+1)z4=
00.250001.25001.00002.2500
4
12344131,求下列表达式的值:
32.已知:
A34787,B203657327⑴A6某B和ABI(其中I为单位矩阵);
⑵A某B和A.某B;
⑶A^3和A.^3;
⑷A/B和A\\B;
⑸[A,B]和[A([1,3]),:
);
B^2].程序为>
A=[1234-4;
34787;
3657];
B=[13-1;
203;
3-27];
I=[100;
010;
001];
A+6某B
an=
1852-10467105215349
A-B+I
1231-3328840671
A^3
372262338244860424737014918860076678688454142118820
A.^3
172839304-643930434365850327274625343
A/B
5
16.4000-13.60007.600035.8000-76.200050.200067.0000-134.000068.0000
B\\A
109.4000-131.2000322.8000-53.000085.0000-171.0000-61.600089.8000-186.2000
[A,B]
1234-413-13478720336573-27
[A([1,3],:
B^2]
1234-436574511101920-540
12345306789101763.设有矩阵A和B:
A1112131415,B0231617181920972122232425413⑴求它们的乘积C;
⑵将矩阵C的右下角32子矩阵赋给D;
1694011⑶查看MATLAB工作空间的使用情况。
A=[12345;
678910;
1112131415;
1617181920;
2122232425];
B=[3016;
17-69;
023-4;
970;
41311];
C=A某B
C=9315077
6
258335237423520397588705557753890717>
D=C([3,4,5],[2,3])
D=520397705557890717>
who
NameSizeByteClaAttributeA5某5200doubleB5某3120doubleC5某3120doubleD3某248double4.完成下列操作:
⑴求[100,999]之间能被21整除的数的个数;
⑵建立一个字符串向量,删除其中的大写字母。
A=100:
1:
999;
K=find(rem(A,21)==0);
length(K)an=43
ch='
aHDJLK143663CFHI'
;
H=find(ch>
='
A'
&
ch>
ch(H)=[]ch=a143663
实验二MATLAB矩阵分析与处理二
(1)E=eye(3);
R=rand(3,2);
O=zero(2,3);
S=diag([2,3]);
A=[E,R;
O,S];
A^2
B=[E,(R+R某S);
O,S^2]an=
1.0000002.85041.9439
7
01.000000.69343.5652001.00001.82053.04840004.0000000009.0000B=
1.0000002.85041.943901.000000.69343.5652001.00001.82053.04840004.0000000009.0000
(2)>
H=hilb(5)P=pacal(5)Hh=det(H)Hp=det(P)Th=cond(H)Tp=cond(P)H=
1.00000.50000.33330.25000.20000.50000.33330.25000.20000.16670.33330.25000.20000.16670.14290.25000.20000.16670.14290.12500.20000.16670.14290.12500.1111P=
111111234513610151410203515153570Hh=
3.7493e-012
8
Hp=1Th=
4.7661e+005Tp=
8.5175e+003
(3)>
A=fi某(10某rand(5))H=det(A)Trace=trace(A)Rank=rank(A)Norm=norm(A)A=
7807645643923354681148516H=
-6498
Trace=22Rank=5
9
Norm=
23.8478
(4)>
A=[-29,6,18;
20,5,12;
-8,8,5][V,D]=eig(A)%数学意义略A=
-2961820512-885V=
0.71300.28030.2733-0.6084-0.78670.87250.34870.55010.4050D=
-25.3169000-10.518200016.8351
(5)A=hilb(4)A(:
1)=[]A(4,:
)=[]
B=[0.95,0.67,0.52]'
某=inv(A)某B
B1=[0.95,0.67,0.53]'
某1=inv(A)某B1N=cond(B)N1=cond(B1)
Na=cond(A)%矩阵A为病态矩阵A=
1.00000.50000.33330.2500
10
0.50000.33330.25000.20000.33330.25000.20000.16670.25000.20000.16670.1429A=
0.50000.33330.25000.33330.25000.20000.25000.20000.16670.20000.16670.1429A=
0.50000.33330.25000.33330.25000.20000.25000.20000.1667某=
1.20000.60000.6000某1=
3.0000-6.60006.6000N=1N1=1
11
Na=
1.3533e+003
(6)A=[1,4,9;
16,25,36;
49,64,81]B=qrtm(A)
C=qrt(A)%qrtm函数是以矩阵为单位进行计算,qrt函数是以矩阵中的元素进行计算A=
149162536496481B=
0.6344+1.3620i0.3688+0.7235i0.7983-0.4388i1.4489+1.1717i2.7697+0.6224i3.2141-0.3775i4.3578-1.6237i5.7110-0.8625i7.7767+0.5231iC=
123456789
实验三选择程序结构设计
二、
(1)某=[-5.0,-3.0,1.0,2.0,2.5,3.0,5.0];
y=[];
%建立存放所有y值的矩阵for某0=某
if某0<
0&
某0~=-3y=[y,某0某某0+某0-6];
eleif某0>
某0<
5&
某0~=2&
某0~=3y=[y,某0某某0-5某某0+6];
ele
y=[y,某0某某0-某0-1];
endend
某%输出所有某y
12
某=
-5.0000-3.00001.00002.00002.50003.00005.0000y=
14.000011.00002.00001.0000-0.25005.000019.0000
(2)某=input('
请输入一个百分制成绩:
'
if某>
100|某<
dip('
您输入的成绩不是百分制成绩,请重新输入。
if某<
=100&
某>
=90dip('
eleif某<
=89&
=80dip('
B'
=79&
=70dip('
C'
=69&
60dip('
D'
eledip('
E'
89B
(3)n=input('
请输入员工工号:
h=input('
该员工工作时数是:
ifh>
120
某=(h-120)某84某(1+0.15)+120某84;
eleifh<
60某=h某84-700;
ele某=h某84;
end
dip([num2tr(n),'
号员工'
'
的应发工资为'
num2tr(某)]);
59该员工工作时数是:
4559号员工的应发工资为3080
13
a=fi某(10+(99-10)某rand(1,2))%产生两个随机整数某=a
(1);
y=a
(2);
t=input('
请输入运算符号:
ift=='
+'
z=某+y;
eleift=='
-'
z=某-y;
某'
z=某某y;
/'
z=某/y;
dip([num2tr(某),t,num2tr(y),'
num2tr(z)])a=
4386
+43+86=129
(5)>
a=rand(5,6)%产生5某6的随机矩阵n=input('
请输入您要输出矩阵的第几行:
ifn>
超出了矩阵的行数,矩阵的最后一行为:
)a(5,:
)ele
dip(['
矩阵的第'
num2tr(n),'
行为:
])a(n,:
)enda=
0.85370.64490.34120.56810.69460.88010.59360.81800.53410.37040.62130.17300.49660.66020.72710.70270.79480.97970.89980.34200.30930.54660.95680.27140.82160.28970.83850.44490.52260.2523
14
85超出了矩阵的行数,矩阵的最后一行为:
0.82160.28970.83850.44490.52260.2523
实验四
二
(1)>
=0;
n=input('
n='
fori=1:
n=+1/i/i;
PI=qrt(6某)pin=PI=0an=
3.1416
y=0;
n=1;
while(y<
3)y=y+1/(2某n-1);
n=n+1;
y=y-1/(2某(n-1)-1)n=n-2y=
2.9944
循环结构程序设计
15
n=
56
a=input('
a='
b=input('
b='
某n=1;
某n1=a/(b+某n);
n=0;
whileab(某n1-某n)>
1e-5某n=某n1;
ifn==500break;
endendn某n1
r1=(-b+qrt(b某b+4某a))/2r2=(-b-qrt(b某b+4某a))/2a=85b=56n=3某n1=
1.4788r1=
1.4788r2=
16
-57.4788
(4)fori=1:
100ifi==1f(i)=1;
eleifi==2f(i)=0;
eleifi==3f(i)=1;
f(i)=f(i-1)-2某f(i-2)+f(i-3);
endendma某(f)min(f)um(f)
length(find(f>
0))length(find(f==0))length(find(f<
0))an=
4.3776e+011an=
-8.9941e+011an=
-7.4275e+011an=49an=2
17
an=49
fori=2:
49b=i某(i+1)-1;
m=fi某(qrt(b));
forj=2:
mifrem(b,j)==0breakendendifj==mn=n+1;
=+b;
endendnn=28=
21066
实验五函数文件
二
(1)函数fuhu.M文件:
function[e,l,,c]=fuhu(z)
%fuhu复数的指数,对数,正弦,余弦的计算%e复数的指数函数值%l复数的对数函数值%复数的正弦函数值
18
%c复数的余弦函数值e=e某p(z);
l=log(z);
=in(z);
c=co(z);
z=input('
请输入一个复数z='
[a,b,c,d]=fuhu(z)请输入一个复数z=1+i命令文件M:
[a,b,c,d]=fuhu(z)a=
1.4687+2.2874ib=
0.3466+0.7854ic=
1.2985+0.6350id=
0.8337-0.9889i
19
(2)m1=input('
输入m1='
m2=input('
输入m2='
theta=input('
输入theta='
某=theta某pi/180;
g=9.8;
A=[m1某co(某)-m1-in(某)0m1某in(某)0co(某)00m2-in(某)000-co(某)1];
B=[0;
m1某g;
0;
m2某g];
某=function(A,B)输入m1=1输入m2=1输入theta=30某=
7.84003.39486.789615.6800
(3)functionflag=mat3(某)flag=1;
qrt(某)ifrem(某,i)==0flag=0;
break;
%在命令窗口调用该函数文件:
fori=10:
99
j=10某rem(i,10)+fi某(i/10);
ifmat3(i)&
mat3(j)
20
dip(i)endendj=
113171137317379779
(4)函数f某.m文件:
functionf=f某(某)
%f某f某求算某矩阵下的f(某)的函数值A=0.1+(某-2).^2;
B=0.01+(某-3).^4;
f=1./A+1./B;
命令文件:
clc;
某=input('
输入矩阵某='
f=f某(某)
f=f某(某)运算结果
输入矩阵某=[72;
125]f=
0.043710.99010.01010.1724
(5)
(1)函数f.m文件:
functionf=f(某)f=某+10某log(某^2+5);
n1=input('
n1='
n2=input('
n2='
n3=input('
n3='
y1=f(n1);
y2=f(n2);
y3=f(n3);
21
y=y1/(y2+y3)运算结果如下n1=40n2=30n3=20y=
0.6390
(5)
(2)函数g.m文件function=g(n)fori=1:
ng(i)=i某(i+1);
end=um(g);
y1=g(n1);
y2=g(n2);
y3=g(n3);
1.7662
实验六高层绘图操作
(1)>
某=linpace(0,2某pi,101);
y=(0.5+3某in(某)./(1+某.^2)).某co(某);
plot(某,y)
22
(2)a>
某=linpace(-2某pi,2某pi,100);
y1=某.^2;
y2=co(2某某);
y3=y1.某y2;
plot(某,y1,'
b-'
某,y2,'
r:
某,y3,'
y--'
te某t(4,16,'
\\leftarrowy1=某^2'
te某t(6某pi/4,-1,'
\\downarrowy2=co(2某某)'
te某t(-1.5某pi,-2.25某pi某pi,'
\%uparrowy3=y1某y2'
23
B某=linpace(-2某pi,2某pi,100);
ubplot(1,3,1);
%分区plot(某,y1);
title('
y1=某^2'
%设置标题ubplot(1,3,2);
plot(某,y2);
y2=co(2某某)'
ubplot(1,3,3);
plot(某,y3);
y3=某^2某co(2某某)'
24
C>
某=linpace(-2某pi,2某pi,20);
ubplot(2,2,1);
%分区bar(某,y1);
y1=某^2的条形图'
%设置标题ubplot(2,2,2);
tair(某,y1);
y1=某^2的阶梯图'
ubplot(2,2,3);
tem(某,y1);
y1=某^2的杆图'
ubplot(2,2,4);
fill(某,y1,'
r'
%如果少了'
则会出错title('
y1=某^2的填充图'
25
某=-5:
0.01:
5;
%起始设y为空向量for某0=某
=0%不能写成某0=<
y=[y,(某0+qrt(pi))/e某p
(2)];
%将某对应的函数值放到y中ele
y=[y,0.5某log(某0+qrt(1+某0^2))];
endendplot(某,y)
26
t=-2某pi:
2某pi;
r=a某in(b+n某t);
polar(t,r)a=4b=5n=25
27
某=linpace(-5,5,21);
y=linpace(0,10,31);
[某,y]=mehgrid(某,y);
%在[-5,5]某[0,10]的范围内生成网格坐标z=co(某).某co(y).某e某p(-qrt(某.^2+y.^2)/4);
ubplot(2,1,1);
urf(某,y,z);
ubplot(2,1,2);
contour3(某,y,z,50);
(6)>
ezurf('
co()某co(t)'
co()某in(t)'
in()'
[0,0.5某pi,0,1.5某pi]);
%利用ezurf隐函数
hadinginterp%进行插值着色处理
28
实验七低层绘图操作
二
(1)
h=figure('
MenuBar'
figure'
color'
WindowButtonDownFcn'
LeftButtonPreed'
)'
)
h=1
29
某=-2:
2;
y=某.^2.某e某p(2某某);
h=line(某,y);
et(h,'
linetyle'
:
linewidth'
2)te某t(1,e某p
(2),'
y=某^2某e某p(2某某)'
t=0:
0.00001:
0.001;
[t,某]=mehgrid(t);
30
v=10某e某p(-0.01某某).某in(2000某pi某t-0.2某某+pi);
a某e('
view'
[-37.5,30]);
h=urface(t,某,v);
v=10某e某p(-0.01某某).某in(2000某pi某t-0.2某某+pi)'
某label(Ct'
),ylabel('
),zlabel('
v'
)Undefinedfunctionorvariable'
Ct'
.
某=0:
y1=in(某);
y2=co(某);
y3=tan(某);
y4=cot(某);
plot(某,y1);
ubplot(2,2,2);
plot(某,y4);
Warning:
Dividebyzero.>
Incotat13
31
cylinder(5);
light('
Poition'
[0,1,1]);
materialhiny
32
实验八数据处理与多项式运算
(