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% nomor 1 A=[3,8,-1;5,2,0]; B=[-3,2;2,2;-1,3]; A-3*B' ans = 12 2 2 -1 -4 -9 % nomor 2 [r1,r2]=akarkuad(4.2,6.1,4) r1 = -12.8100 +11.5003i r2 = -12.8100 -11.5003i % nomor 3 A=[2 1 5;2 2 3;1 3 3]; C=[5;7;6]; B=A\C B = 2.4545 1.4545 -0.2727 % nomor 4 x=-2:.1:2; y1=x.^2.*cos(x);y2=x.^2.*sin(x); plot(x,y1,'--r',x,y2,'-.b');xlabel('sumbu-x');ylabel('sumbu-y'); % nomor 5 x=(1:40)/10; g=(x-1).*(x-2).*(x-3); izero=find(g==0); ii=find(g~=0); f(izero)=NaN; f(ii)=1./g(ii); plot(x,f) % nomor 6 A=[1 0 0 -1;0 1 0 0;0 0 1 0;-1 0 0 1]; eig(A) %nilai eigen matrik A ans = 0 1

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DESCRIPTION

ini merupakan ujian fisika komputasi, semoga bisa dijadikan pelajaran

TRANSCRIPT

Page 1: Uts

% nomor 1

A=[3,8,-1;5,2,0];

B=[-3,2;2,2;-1,3];

A-3*B'

ans =

12 2 2

-1 -4 -9

% nomor 2

[r1,r2]=akarkuad(4.2,6.1,4)

r1 =

-12.8100 +11.5003i

r2 =

-12.8100 -11.5003i

% nomor 3

A=[2 1 5;2 2 3;1 3 3];

C=[5;7;6];

B=A\C

B =

2.4545

1.4545

-0.2727

% nomor 4

x=-2:.1:2;

y1=x.^2.*cos(x);y2=x.^2.*sin(x);

plot(x,y1,'--r',x,y2,'-.b');xlabel('sumbu-x');ylabel('sumbu-y');

% nomor 5

x=(1:40)/10;

g=(x-1).*(x-2).*(x-3);

izero=find(g==0);

ii=find(g~=0);

f(izero)=NaN;

f(ii)=1./g(ii);

plot(x,f)

% nomor 6

A=[1 0 0 -1;0 1 0 0;0 0 1 0;-1 0 0 1];

eig(A) %nilai eigen matrik A

ans =

0

1

Page 2: Uts

1

2

B=[8 -1 -5;-4 4 -2;18 -5 -7];

eig(B) %nilai eigen matrik B

ans =

2.0000 + 4.0000i

2.0000 - 4.0000i

1.0000 + 0.0000i

% nomor 7

[x,it]=fnewton('f71','f72',50,0.0001)

x =

27.8235

it =

3

% nomor 8

% untuk soal ini saya masih belum mengerti apa yang dimaksud bapak

% ini menurut pemahaman saya

A=[2 3;1 -1];

B=[7;1];

c=eig(A,B)

{�Error using <a href="matlab:helpUtils.errorDocCallback('eig')"

style="font-weight:bold">eig</a>

For generalized eigenproblem EIG(A,B), A and B must be square.

}�

c=A\B;

D=A;

E=[-2;8];

f=D\E;

c

c =

2

1

f

f =

4.4000

-3.6000

[v1,e]=eig(A);

[v2,e]=eig(D);

x=v1\v2

Page 3: Uts

x =

1 0

0 1

% sudah yah... nyerah saya dengan nomor 8 ini

% nomor 9

nomor9

x

x =

3.1854

% nomor 10

x=fzero('f101',2,0.0001) % menghasilkan nilai x persamaan pertama

x =

2.7984

x=fzero('f102',2,0.0001) % menghasilkan nilai x persamaan kedua

x =

3.1416

x=fzero('f103',2,0.0001) % menghasilkan nilai x persamaan ketiga

x =

1.0000

%nomor 11

z1=2+3i;

z2=1-3i;

z3=5+2i;

z4=z1;

a=z1+z2+z4;

b=z1+2*z2+z4;

c=z1+z2+z3+z4;

Z=[a -z2 0 0;-z2 b -z2 0;0 -z2 b -z2;0 0 -z2 c];

V=[5;0;0;0];

I=Z\V

I =

0.5953 - 0.3550i

-0.0991 - 0.2864i

-0.1392 + 0.0048i

0.0069 + 0.0388i

% nomor 12

m=[20 0 0;0 30 0;0 0 40];

Page 4: Uts

k=[75 -30 -25;-30 65 -35;-25 -35 60];

lamda=eig(m,k)'

lamda =

0.2246 0.3592 5.5611

omega=sqrt(1./lamda)

omega =

2.1102 1.6685 0.4241

omega=sqrt([1 1 1]./lamda)

omega =

2.1102 1.6685 0.4241

frekuensi=omega./2*pi

frekuensi =

3.3147 2.6209 0.6661

% alhamdulillah.... akhirnya selesai juga....

%eits.... TAPI NOMOR 8 MASIH BELUM T_T ......

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{�Error: Unexpected MATLAB operator.

}�

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