//----------------------//
// Zadania z MATLABA //
//----------------------//

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Zadania i Pytania kontrolne - wektory, macierze i struktury danych

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v=[100:-5:-100]

zad 1.1
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b=[cos((2:100)*pi)]

zad 1.2
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n=[0 ones(1,98) 0]

zad 1.3
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m=[(1:100).^3]

zad 1.4
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a=[3.^(1:100)]

zad 1.5
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s=[0 1 (2:100).^(1:99)]

zad 1.6
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s=[0 1 (2:100).^(-2:-1:-100)]

zad 1.7
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f=[1 1./sqrt(2:100)]

zad 1.8
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g=[1 sqrt(2:100)/2:100]

zad 1.9
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j=[1 (1:99)./sqrt(2:100)]

zad 1.10
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v=[0 -1 sqrt(2:100)./2:100]

zad 1.11
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v=[0 (1:99)./sqrt(100:-1:2) 100]

zad 1.12
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k=[1+i*(1:100)]

zad 1.13
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po=[0,pi pi./(2:100)]

zad 1 14
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v=[0 exp(-1:-1:-100)]

zad 1.15
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z=[-1./(10:-1:2) -1 0 1 1./(2:10)]

zad 1.16
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x=[exp(-20:-1) 0 exp(1:20)]

zad 1.17
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c=[10.^(-10:-1) 0 10.^(1:10)]

zad 1.18
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v(2:2:200)=1:100

zad 1.19
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A=round(10*rand(6,9)) //tworzy losową macierz o wymiarach 6x9
B=A([1,4],[3:6])

zad 1.20
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C=A([2:2:6] , :)

zad 1.21
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D=A(:,[9:-2:1])

zad 1.22
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E(1:2:5,:)= zeros(3,9)

zad 1.23
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F=[ones(1,11); ones(6,1) A ones(6,1); ones(1,11)]

zad 1.24
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[w k]=size(G) //sprawdza rozmiar macierzy G
H=[A(1,1),A(1,:),A(1,k);A(:,1), A A(:,k);A(w,1), A(w,:),A(w,k)]

zad 1.25
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W=[0 1; 2 3; 1 2]
E=[1;0;2]

>>W*E
??? Error using ==> mtimes
Inner matrix dimensions must agree. //błąd, bo wymiary macierzy się nie zgadzają

W'*E

ans =

2
5

W^2
??? Error using ==> mpower
Matrix must be square.

W.^2

ans =

0 1
4 9
1 4

W(:,2).*E

ans =

1
0
4

zad 1.26
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Q=[0 1; 2 3]
W=[1;3]

Q =

0 1
2 3


W =

1
3

Q*W

ans =

3
11

Q.*W
??? Error using ==> times
Matrix dimensions must agree.

Q^2

ans =

2 3
6 11

Q.^2

ans =

0 1
4 9

W^2
??? Error using ==> mpower
Matrix must be square.

W.^2

ans =

1
9

Q(:,2)./W

ans =

1
1

Q(1,:)*W

ans =

3

W./Q(:,2)

ans =

1
1

zad 1.27
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zad 1.28
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E=[1 2; 0 1 ; 2 3]
R=[1 1 ; 2 2 ; 3 3]

E =

1 2
0 1
2 3


R =

1 1
2 2
3 3

E.*R

ans =

1 2
0 2
6 9

E*R
??? Error using ==> mtimes
Inner matrix dimensions must agree.

E^2
??? Error using ==> mpower
Matrix must be square.

E.^2

ans =

1 4
0 1
4 9

E(1,:).\R(1,:)

ans =

1.0000 0.5000

zad 1.29
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T=[1 2;3 0]
Y=[1 1;2 2]

T =

1 2
3 0


Y =

1 1
2 2

T.*Y

ans =

1 2
6 0

T.^Y

ans =

1 2
9 0



zad 1.30
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T(4,4)=10

T =

0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 10

T(:,[3,1])=ones(4,2)*10

T =

10 0 10 0
10 0 10 0
10 0 10 0
10 0 10 10

zad 1.31
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Y= eye(4)

Y =

1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1

Y(2:3,[3,2])=ones(2)

Y =

1 0 0 0
0 1 1 0
0 1 1 0
0 0 0 1

zad 1.32
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U=10*ones(4)

U =

10 10 10 10
10 10 10 10
10 10 10 10
10 10 10 10

U([1 4],1:3:4)=eye(2)

U =

1 10 10 0
10 10 10 10
10 10 10 10
0 10 10 1


zad 1.33
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I(4,4)=2

I =

0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 2

I([1 3],1:3)=2*ones(2,3)

I =

2 2 2 0
0 0 0 0
2 2 2 0
0 0 0 2

zad 1.34
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U(4,4)=5

U =

0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 5

U([1,3],:) = 5*ones(2,4)

U =

5 5 5 5
0 0 0 0
5 5 5 5
0 0 0 5

zad 1.35
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