东南大学Matlab作业1Word文件下载.docx

东南大学Matlab作业1Word文件下载.docx

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g）1velocity

3.Assigntwoscalarvariablesxandyvaluesx=1.5,y=2.3,thenconstructMatlabexpressionsforthefollowing:

a）

b）

c）

d）

theresultoftheCommandWindowis:

x=1.5;

y=2.3;

z1=5*x^3*y/（x+y）

z2=（x^7*y^0.5）^（2/3）

z3=（x^（1/6）/（log10（x^5-1））+1）*exp（-2*y）

z4=sin（2*pi*x-y）+exp（x）.*cos（2*pi*x）

z1=

10.2138

z2=

8.7566

z3=

0.0232

z4=

-3.7360

4.Assigntwovariableswithcomplexvaluesu=2+3jandv=4+10jandthenconstructexpressionfor:

b）

c）

d）

theresultoftheCommandWindowis:

u=2+3j;

v=4+10j;

z1=u/v

z2=u*v+2j

z3=u/2j

z4=v*exp（-j*2*pi*u）

0.3276-0.0690i

-22.0000+34.0000i

1.5000-1.0000i

6.1421e+08+1.5355e+09i

5.Usethecolonoperator:

toassignnumericalvaluesbetween0and1tovectorarrayvariableainstepsof0.1.

Answer:

V=0:

0.1:

1

V=

Columns1through10

00.10000.20000.30000.40000.50000.60000.70000.80000.9000

Column11

1.0000

6.Uselinspacefunctiontoassign20valuestovectorvariableybetween20and30.

V=linspace（20,30,20）

20.000020.526321.052621.578922.105322.631623.157923.684224.210524.7368

Columns11through20

25.263225.789526.315826.842127.368427.894728.421128.947429.473730.0000

7.Assign20valuestoavariablehincreasinglogarithmicallybetween10and1000.

Next,usethecolonoperatortoassignthefirst10elementsofhtoavariablep.

v=logspace（1,3,20）

v=

1.0e+03*

0.01000.01270.01620.02070.02640.03360.04280.05460.06950.0886

0.11290.14380.18330.23360.29760.37930.48330.61580.78481.0000

p=v（1:

10）

p=

10.000012.742716.237820.691426.366533.598242.813354.555969.519388.5867

8.Create6elementrowvectorzwithvalues1.01.21.6-1.71.81.9,thenconstructanexpressionforthesumofthe2nd4thand6thelementsofz.

>

z=[1.01.21.6-1.71.81.9]

x=z

（2）+z（4）+z（6）

z=

1.00001.20001.6000-1.70001.80001.9000

1.4000

9.Usethecolonoperatortocreateavectorarrayxbetween10and-10instepsof-1,andsecond,anarrayvectorybetween20and-20insteps-2.

a）Addxandy,b）subtract10xfrom5y.

x=10:

-1:

-10

y=20:

-2:

-20

Columns1through17

109876543210-1-2-3-4-5-6

Columns18through21

-7-8-9-10

y=

20181614121086420-2-4-6-8-10-12

-14-16-18-20

x+y

ans=

302724211815129630-3-6-9-12-15-18

-21-24-27-30

5*y-10*x

00000000000000000

0000

10.Usethesize,length,whoandwhoscommandstoestablishthesizeandlengthofxandyfromQuestion9,andusetransposeoperator’toconvertvectorxfromQuestion9.

size（x）

length（x）

121

21

who

Yourvariablesare:

ansxy

whos

NameSizeBytesClassAttributes

ans1x18double

x1x21168double

y1x21168double

z=x'

9

8

7

6

5

4

3

2

1

0

-1

-2

-3

-4

-5

-6

-7

-8

-9

-10

11.Showthatifw=[2i3i3+i]the.’operatorcreatesthetranspose.Whateffectdoestheoperator’appliedtowhaveonitsown?

>

w=[2i3i3+i]

w=

0+2.0000i0+3.0000i3.0000+1.0000i

x=w'

0-2.0000i

0-3.0000i

3.0000-1.0000i

y=w.'

0+2.0000i

0+3.0000i

3.0000+1.0000i

12.Usetheonesfunctiontocreatea4by6arrayof1’s.Consideringjusttheshapeoftheresultingarray,whatdotheexpressionones（3）,ones（5）andones（7）allhaveincommon?

v=ones（4,6）

111111

ones（3）

111

ones（5）

11111

Ones（n）是n阶全为1的方阵

13.Createusingtherandfunctiona5by4randommatrixandassignittomatrixarrayvariableAandobservecarefullywhatA（:

3）A（1:

2）andA（3,[24]）mean.

A=rand（5,4）

A=

0.81470.09750.15760.1419

0.90580.27850.97060.4218

0.12700.54690.95720.9157

0.91340.95750.48540.7922

0.63240.96490.80030.9595

A（:

3）

0.1576

0.9706

0.9572

0.4854

0.8003

A（1:

2）

0.81470.9058

A（3,[24]）

0.54690.9157

14.Usingarraysubscripts,createanexpressionforthesumoftheelementinthetopright-hand-cornerofAandthebottomleft-hand-cornerofA.Alsoassignthe2ndcolumnofAtoacolumnvectorb,andassignthe3rdrowofAtoarowvectord.

0.75130.95930.84070.3500

0.25510.54720.25430.1966

0.50600.13860.81430.2511

0.69910.14930.24350.6160

0.89090.25750.92930.4733

x=A（1,4）+A（4,1）

1.0491

b=A（:

2）

b=

0.9593

0.5472

0.1386

0.1493

0.2575

d=A（3,:

）

d=

diaryofftoswitchoffyourdiarynow.

15.Usingthecolonoperator,assignarowvectorarrayt,valuesbetween0and10instepsof0.01.Usethe;

operatortopreventdisplayingtheinformation.Obtaintheterm-by-termvaluesoffunctions:

（1）home_work_1_A_15.m

t=0:

0.01:

10;

z1=exp（-0.05*t）

z2=z1.*sin（pi*t）

z3=z2.*cos（2*pi*t）

（2）result

home_work_1_A_15

1.00000.99950.99900.99850.99800.99750.99700.99650.99600.9955

0.99500.99450.99400.99350.99300.99250.99200.99150.99100.9905

Columns21through30

0.99000.98960.98910.98860.98810.98760.98710.98660.98610.9856

Columns31through40

0.98510.98460.98410.98360.98310.98270.98220.98170.98120.9807

Columns41through50

0.98020.97970.97920.97870.97820.97780.97730.97680.97630.9758

Columns51through60

0.97530.97480.97430.97380.97340.97290.97240.97190.97140.9709

Columns61through70

0.97040.97000.96950.96900.96850.96800.96750.96710.96660.9661

Columns71through80

0.96560.96510.96460.96420.96370.96320.96270.96220.96180.9613

Columns81through90

0.96080.96030.95980.95930.95890.95840.95790.95740.95700.9565

Columns91through100

0.95600.95550.95500.95460.95410.95360.95310.95270.95220.9517

Columns101through110

0.95120.95080.95030.94980.94930.94890.94840.94790.94740.9470

Columns111through120

0.94650.94600.94550.94510.94460.94410.94360.94320.94270.9422

Columns121through130

0.94180.94130.94080.94040.93990.93940.93890.93850.93800.9375

Columns131through140

0.93710.93660.93610.93570.93520.93470.93430.93380.93330.9329

Columns141through150

0.93240.93190.93150.93100.93050.93010.92960.92910.92870.9282

Columns151through160

0.92770.92730.92680.92640.92590.92540.92500.92450.92400.9236

Columns161through170

0.92310.92270.92220.92170.92130.92080.92040.91990.91940.9190

Columns171through180

0.91850.91810.91760.91710.91670.91620.91580.91530.91480.9144

Columns181through190

0.91390.91350.91300.91260.91210.91160.91120.91070.91030.9098

Columns191through200

0.90940.90890.90850.90800.90760.90710.90660.90620.90570.9053

Columns201through210

0.90480.90440.90390.90350.90300.90260.90210.90170.90120.9008

Columns211through220

0.90030.89990.89940.89900.89850.89810.89760.89720.89670.8963

Columns221through230

0.89580.89540.89490.89450.89400.89360.89320.89270.89230.8918

Columns231through240

0.89140.89090.89050.89000.88960.88910.88870.88830.88780.8874

Columns241through250

0.88690.88650.88600.88560.88510.88470.88430.88380.88340.8829

Columns251through260

0.88250.88210.88160.88120.88070.88030.87990.87940.87900.8785

Columns261through270

0.87810.87770.87720.87680.87630.87590.87550.87500.87460.8742

Columns271through280

0.87370.87330.87280.87240.87200.87150.87110.87070.87020.8698

Columns281through290

0.86940.86890.86850.86810.86760.86720.86680.86630.86590.8655

Columns291through300

0.86500.86460.86420.86370.86330.86290.86240.86200.86160.8611

Columns301through310

0.86070.86030.85980.85940.85900.85860.85810.85770.85730.8568

Columns311through320

0.85640.85600.85560.85510.85470.85430.85380.85340.85300.8526

Columns321through330

0.85210.85170.85130.85090.85040.85000.84960.84920.84870.8483

Columns331through340

0.84790.84750.84700.84660.84620.84580.84540.84490.84450.8441

Columns341through350

0.84370.84320.84280.84240.84200.84160.84110.84070.84030.8399

Columns351through360

0.83950.83900.83860.83820.83780.83740.83690.83650.8