东南大学matlab课程作业.docx
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东南大学matlab课程作业
MatlabWorksheet1
PartA
1.GetintoMatlab:
Usethediarycommandtorecordyouractivityintoafile:
diarymydiary01.docbeforeyoustartyourwork.（Anddiaryofftoswitchoffyourdiarywhenyoufinishyourwork.）
AttheCommandWindowassignavaluex=10,thenusetheUpKey↑torepeattheexpression,editingittoshowtheeffectofusingasemicolonafterthe10,namelyx=10;
Answers:
>> x=10
x =
10
>> x=10;
2.Confirmwhetherthefollowingnamesofvariablesareacceptable:
a）VelocityYesNo
b）Velocity1YesNo
c）Velocity.1YesNo
d）Velocity_1YesNo
e）Velocity-01YesNo
f）velocityONEYesNo
g）1velocityYesNo
3.Assigntwoscalarvariablesxandyvaluesx=1.5,y=2.3,thenconstructMatlabexpressionsforthefollowing:
a）
b）
c）
d）
Answers:
>> 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:
a）
b）
c）
d）
Answers:
>> u=2+3j;v=4+10j;
z1=u/v
z2=u*v+2j
z3=u/2j
z4=v*exp（-j*2*pi*u）
z1 =
0.3276 - 0.0690i
z2 =
-22.0000 +34.0000i
z3 =
1.5000 - 1.0000i
z4 =
6.1421e+08 + 1.5355e+09i
5.Usethecolonoperator:
toassignnumericalvaluesbetween0and1tovectorarrayvariableainstepsof0.1.
Answer:
>> V=0:
0.1:
1
V =
Columns 1 through 10
0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000
0.9000
Column 11
1.0000
6.Uselinspacefunctiontoassign20valuestovectorvariableybetween20and30.
Answer:
>> V=linspace（20,30,20）
V =
Columns 1 through 10
20.0000 20.5263 21.0526 21.5789 22.1053 22.6316 23.1579 23.6842
24.2105 24.7368
Columns 11 through 20
25.2632 25.7895 26.3158 26.8421 27.3684 27.8947 28.4211 28.9474
29.4737 30.0000
7.Assign20valuestoavariablehincreasinglogarithmicallybetween10and1000.
Next,usethecolonoperatortoassignthefirst10elementsofhtoavariablep.
Answers:
>> v=logspace（1,3,20）
v =
1.0e+03 *
Columns 1 through 10
0.0100 0.0127 0.0162 0.0207 0.0264 0.0336 0.0428 0.0546
0.0695 0.0886
Columns 11 through 20
0.1129 0.1438 0.1833 0.2336 0.2976 0.3793 0.4833 0.6158
0.7848 1.0000
>> p=v（1:
10）
p =
10.0000 12.7427 16.2378 20.6914 26.3665 33.5982 42.8133 54.5559 69.5193
88.5867
8.Create6elementrowvectorzwithvalues1.01.21.6-1.71.81.9,thenconstructanexpressionforthesumofthe2nd4thand6thelementsofz.
Answers:
>> z=[1.0 1.2 1.6 -1.7 1.8 1.9]
x=z
（2）+z（4）+z（6）
z =
1.0000 1.2000 1.6000 -1.7000 1.8000 1.9000
x =
1.4000
9.Usethecolonoperatortocreateavectorarrayxbetween10and-10instepsof-1,andsecond,anarrayvectorybetween20and-20insteps-2.
a）Addxandy,b）subtract10xfrom5y.
Answers:
>> x=10:
-1:
-10
y=20:
-2:
-20
x =
Columns 1 through 17
10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6
Columns 18 through 21
-7 -8 -9 -10
y =
Columns 1 through 17
20 18 16 14 12 10 8 6 4 2 0 -2 -4 -6 -8 -10 -12
Columns 18 through 21
-14 -16 -18 -20
>> x+y
ans =
Columns 1 through 17
30 27 24 21 18 15 12 9 6 3 0 -3 -6 -9 -12 -15 -18
Columns 18 through 21
-21 -24 -27 -30
>> 5*y-10*x
ans =
Columns 1 through 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Columns 18 through 21
0 0 0 0
10.Usethesize,length,whoandwhoscommandstoestablishthesizeandlengthofxandyfromQuestion9,andusetransposeoperator’toconvertvectorxfromQuestion9.
Answers:
>> size（x）
length（x）
ans =
1 21
ans =
21
>> who
Your variables are:
ans x y
>> whos
Name Size Bytes Class Attributes
ans 1x1 8 double
x 1x21 168 double
y 1x21 168 double
>> z=x'
z =
10
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?
Answer:
>> w=[ 2i 3i 3+i]
w =
0 + 2.0000i 0 + 3.0000i 3.0000 + 1.0000i
>> x=w'
x =
0 - 2.0000i
0 - 3.0000i
3.0000 - 1.0000i
>> y=w.'
y =
0 + 2.0000i
0 + 3.0000i
3.0000 + 1.0000i
12.Usetheonesfunctiontocreatea4by6arrayof1’s.Consideringjusttheshapeoftheresultingarray,whatdotheexpressionones（3）,ones（5）andones（7）allhaveincommon?
Answer:
>> v=ones（4,6）
v =
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
>> ones（3）
ans =
1 1 1
1 1 1
1 1 1
>> ones（5）
ans =
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
Ones（n）是n阶全为1的方阵
13.Createusingtherandfunctiona5by4randommatrixandassignittomatrixarrayvariableAandobservecarefullywhatA（:
3）A（1:
2）andA（3,[24]）mean.
Answer:
>> A=rand（5,4）
A =
0.8147 0.0975 0.1576 0.1419
0.9058 0.2785 0.9706 0.4218
0.1270 0.5469 0.9572 0.9157
0.9134 0.9575 0.4854 0.7922
0.6324 0.9649 0.8003 0.9595
>> A（:
3）
ans =
0.1576
0.9706
0.9572
0.4854
0.8003
>> A（1:
2）
ans =
0.8147 0.9058
>> A（3,[2 4]）
ans =
0.5469 0.9157
14.Usingarraysubscripts,createanexpressionforthesumoftheelementinthetopright-hand-cornerofAandthebottomleft-hand-cornerofA.Alsoassignthe2ndcolumnofAtoacolumnvectorb,andassignthe3rdrowofAtoarowvectord.
Answer:
>> A=rand（5,4）
A =
0.7513 0.9593 0.8407 0.3500
0.2551 0.5472 0.2543 0.1966
0.5060 0.1386 0.8143 0.2511
0.6991 0.1493 0.2435 0.6160
0.8909 0.2575 0.9293 0.4733
>> x=A（1,4）+A（4,1）
x =
1.0491
>> b=A（:
2）
b =
0.9593
0.5472
0.1386
0.1493
0.2575
>> d=A（3,:
）
d =
0.5060 0.1386 0.8143 0.2511
>>diaryofftoswitchoffyourdiarynow.
15.Usingthecolonoperator,assignarowvectorarrayt,valuesbetween0and10instepsof0.01.Usethe;operatortopreventdisplayingtheinformation.Obtaintheterm-by-termvaluesoffunctions:
a）
b）
c）
Answers:
0.5874 0.6186 0.6473 0.6731 0.6958 0.7153 0.7314 0.7439 0.7528
0.7581
Columns 551 through 560
0.7596 0.7573 0.7513 0.7417 0.7284 0.7117 0.6916 0.6684 0.6421
0.6131
Columns 561 through 570
0.5815 0.5476 0.5117 0.4741 0.4350 0.3948 0.3538 0.3123 0.2706
0.2291
Columns 571 through 580
0.1880 0.1477 0.1085 0.0706 0.0344 0.0000 -0.0322 -0.0621
-0.0895 -0.1141
Columns 581 through 590
-0.1359 -0.1548 -0.1705 -0.1832 -0.1928 -0.1992 -0.2025 -0.2027 -
0.2000 -0.1944
Columns 591 through 600
-0.1861 -0.1753 -0.1621 -0.1467 -0.1295 -0.1105 -0.0901 -0.0686 -
0.0462 -0.0232
Columns 601 through 610
-0.0000 0.0232 0.0461 0.0684 0.0898 0.1099 0.1287 0.1457 0.1608
0.1737
Columns 611 through 620
0.1843 0.1923 0.1976 0.2001 0.1997 0.1962 0.1897 0.1801 0.1675
0.1518
Columns 621 through 630
0.1332 0.1117 0.0875 0.0607 0.0315 -0.0000 -0.0335 -0.0687 -
0.1055 -0.1435
Columns 631 through 640
-0.1824 -0.2221 -0.2621 -0.3022 -0.3420 -0.3813 -0.4197 -0.4569 -
0.4927 -0.5267
Columns 641 through 650
-0.5587 -0.5885 -0.6157 -0.6403 -0.6619 -0.6804 -0.6957 -0.7076 -
0.7161 -0.7211
Columns 651 through 660
-0.7225 -0.7204 -0.7147 -0.7055 -0.6929 -0.6770 -0.6579 -0.6358 -
0.6108 -0.5832
Columns 661 through 670
-0.5532 -0.5209 -0.4868 -0.4510 -0.4138 -0.3756 -0.3366 -0.2971 -
0.2574 -0.2179
Columns 671 through 680
-0.1788 -0.1405 -0.1032 -0.0672-0.0327 -0.0000 0.0307 0.0591
0.0851 0.1085
Columns 681 through 690
0.1293 0.1472 0.1622 0.1743 0.1834 0.1895 0.1926 0.1928 0.1902
0.1849
Columns 691 through 700
0.1771 0.1667 0.1542 0.1396 0.1231 0.1051 0.0857 0.0652 0.0439
0.0221
Columns 701 through 710
0.0000 -0.0221 -0.0439 -0.0650 -0.0854 -0.1046 -0.1224 -0.1386 -
0.1530 -0.1653
Columns 711 through 720
-0.1753 -0.1829 -0.1880 -0.1903 -0.1899
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