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Chapter 1 : Exercise 1 :Scalarquantitiesandvariables Answer: a= 2 ; b= 3 ; y=a+ 1 y= 3 x=a+b x= 5 c= 4 ; a*(b+c) ans= 14 a/(b+c) ans=
Answer: a= 1 : 4 ; b= 2 : 4 ; disp(a) 1 2 3 4 isempty(a) ans= 0 isequal(a,b) ans= 0 isinteger(b) ans= 0 isinteger(int 8 (b)) ans= 1 isvector(a) ans= 1 isscalar(a) ans= 0 issparse(a) ans= 0 size(a) ans=
Exercise 6 :Calculatethefollowingexpressions formatshortG x=sin(pi/ 3 ); formatshortG x x=
b) 2 *sin( 1. 4 ) ans=
randi([ 3 , 6 ]) ans= 6 randi([ 3 , 6 ]) ans= 5 randi([ 3 , 6 ]) ans= 3 randi([ 3 , 6 ]) ans= 4 PRACTICE1. 2 .Generatearandom
xor('c'=='d'- 1 , 2 < 4 ) ans= 0 10 > 5 > 2 ans= 0 CH- 2 Practicethefollowingquestions 1 .Whathappensifaddingthestepvaluewouldgobeyondtherangespecifiedbythelast,forexample 1 : 2 : 6. Answer:
pvec= 1 : 2 : 6. pvec= 1 3 5 2 .Howcanyouusethecolonoperatortogeneratethevectorshownbelow? Answer: pvec= 9 :- 2 : 1 pvec= 9 7 5 3 1 Practice 2. 1 2 .Thinkaboutwhatwouldbeproducedbythefollowingsequenceofstatementsandexpressions,and thentypethem intoverifyyouranswers: Answer: pvec= 3 : 2 : 10 pvec= 3 5 7 9 pvec( 2 )= 15 pvec=
pvec( 7 )= 33 pvec= 3 1 5 7 9 0 0 3 3 pvec([ 2 : 47 ]) ans= 15 7 9 3 3 linspace( 5 , 11 , 3 ) ans= 5 8 1 1 logspace( 2 , 4 , 3 ) ans= 100 1000 10000 Practice 2. 2 3 .Thinkaboutwhatwouldbeproducedbythefollowingsequenceofstatementsandexpressions,and thentypethem intoverifyyouranswers. Answer: mat=[ 1 : 3 ; 3 : 5 ; 5 : 7 ] mat= 1 2 3 3 4 5 5 6 7 zeros(size(mat)) ans= 0 0 0 0 0 0 0 0 0
numel(mat) ans= 12 v=mat( 3 ,:) v= 5 4 3 3 3 v(v( 2 )) ans= 33 v( 1 )=[] v= 4 3 3 3 reshape(mat, 2 , 6 ) ans= 1 5 9 3 3 1 1 44 2 4 2 8 3 3 Chapter 3 :Looping %%A)fact= 1 ; fori= 2 : 6 fact=fact*i end fact= 2 fact= 6 fact=
fact= 120 fact= 720 clearall closeall %%functionrunsum =sumnnums(n) runsum =2; n= 1 : 10 ; fori=1:n; inputnum =input('Enteranumber:'); runsum =runsum+inputnum end end Answer Enteranumber: 3 runsum = 5 ans= 5 clearall closeall %%total= 0 ; forn= 1 : 6 ; total=total+ 2 ^n; end Answer: 126 total= 0 ; fori= 3 : 7 ; total=total+i^ 3 end total= 775 %% %%maxN=input('Enterthemaximum valueofNrequired:'); I( 1 )= 1 ^ 2 ; forN= 2 :maxN I(N)=I(N- 1 )+N^ 2 ; end
x=input('plaseenterx:'); ifx>= 0 &&x<= 1 f=x elseifx> 1 &&x<= 2 f= 2 - x else f= 0 end Ans: plaseenterx: 1. 5 f=
Example# 2 Plotthegraphandidentifythezero’svalues f(x)=sin( 10 x)+cos( 3 x) code: x=linspace( 3 , 6 ); y=sin( 10 .x)+cos( 3 .x); plot(x,y) gridon Output: Thezeroisnear 3. 25 , 3. 4 , 3. 75 , 4. 25 , 4. 70 , 5. 2 , 5. 23 ,andanothernear 5. 68 ExamplesonFindingrootsofpolynomials Example# 1
gridon end Example#2Determinetheinitialestimatesforthezerosofthefunctionf(x)=xsinx–x^ 0. 5 code: =@(x)x.*sin(x)-x.^ 0. 5 ; fzero(f, 0 ) output: ans= 0 ExamplesonFixedPointIterationmethod Example# 1 FixedpointIterationmethodtofindingroots f(x)=2-x+ln(x) x=e^(x- 2 )xn+1=2+ln(x) TosolvetherootbyMs-excelasfollows; Iteration X=e^(x- 2 )xn+1=2+ln(x) 1 1 1 2 0. 3678794412 3 0. 1955145342. 693147181 4 0. 1645591062. 990710465 5 0. 1595431453. 095510973 6 0. 1587448863. 129952989 7 0. 1586182173. 141017985 8 0. 1585981263. 144546946 9 0. 158594943. 145669825
2 ndSolution: code:forx=2+sin(x) Example#2 FixedpointIterationmethodtofindingroots f(x)=e^x-x xn+1=e^xn Iteration X 1 0 2 1 3 0. 367879441 4 0. 692200628 5 0. 500473501 6 0. 606243535 7 0. 545395786 8 0. 579612336 9 0. 560115461
