2- laboratoriya mashg’uloti Matrisalarning asosiy xarakteristikalarini xisoblash

-1 2 4 0 3

-2 1 0 3 4
-2 -1 0 -2 1
-2 3 -1 -1 1
1 1 1 -1 -1
>> tril(A) ans =

1. 
   0 0 0 0
   
2. 
   1 0 0 0
   

-2 -1 0 0 0
-2 3 -1 -1 0
1 1 1 -1 -1
Endi shu komandani o’zimiz m-faylga yozib yangi yuqori degan komanda hosil qilamiz :

>> B=yuqori(A)
x =
5
B =

1. 
   0 0 0 0
   
2. 
   1 0 0 0
   

-2 -1 0 0 0
-2 3 -1 -1 0
1 1 1 -1 -1
9 – misol :triu komandasi esa matritsaning diagonalidan pastki qismini nollarga aylantiradi:
>> A=[-1 2 4 0 3; -2 1 0 3 4; -2 -1 0 -2 1; -2 3 -1 -1 1; 1 1 1 -1 -1]

1. 
   =
   
   1. 
      2 4 0 3
      
   2. 
      1 0 3 4
      

2 -1 0 3
2 -1 1 3
1 -1 1 5
>> flipud(A) ans = 5
-1 2 4 0 3 9

0 0 0 -1 1
0 0 0 0 -1
Ushbu triu protsedurasini algoritmini o’zimiz tuzib m-faylga yozib chiqamiz va quyidagi natijalarga erishamiz:

>> B=pastki(A) x =
5

2. 
   =
   
   1. 
      2 4 0 3
      

0 1 0 3 4
0 0 0 -2 1
0 0 0 -1 1
0 0 0 0 -1
10 – misol : RESHAPE – matrisa o’lchamini o’zgartish :
>> A=[-1 0 2 0; 0 1 2 -1; -1 -2 -3 2]
A =
-1 0 2 0
0 1 2 -1
-1 -2 -3 2
>> reshape(A,2,6) ans =
-1 -1 1 2 -3 -1
0 0 -2 2 0 2
V. Ishni bajarish tartibi:
Laboratoriya mashg’ulotida har bir talaba ilovada keltirilgan masalalarni Matlab\Simulink dasturida yechishi va yechimlarini hisobot shaklida topshirishi talab etiladi.
Ilovadagi masalalar

1. 
   RESHAPE – matrisa o’lchamini o’zgartiring : A=[-1 0 3 0; 0 1 2 -1; -4 -2 -3 2];
   
2. 
   Berilgan matritsaning diagonaildan yuqori qismini elementlarini 0 bilan almashtiring:
   

A=[-1 2 4 0 3; -2 1 0 3 4; -2 -1 0 -2 1; -2 3 -1 -1 1; 1 1 1 -1 -1];

3. 
   Berilgan matritsaning diagonaildan pastkii qismini elementlarini 0 bilan almashtirish:
   

A=[-6 2 4 4 3; -2 1 0 3 4; -2 -1 0 -2 1; -2 3 -1 -1 1; 1 8 1 -1 -1]

4. 
   Berilgan matritsaning diagonaildan elementlarini 0 bilan almashtirish:
   

A=[-2 2 4 0 3; -2 1 0 3 4; -2 -1 0 -2 1; -2 3 -1 -1 1; 1 5 1 -1 -1]

5. 
   diag(A) komandasi berilgan matritsaning diagonalida tugan elementlarni ekranga chiqaring:
   

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

6. 
   diag(A) komandasi berilgan matritsaning diagonalida tugan elementlarni ekranga chiqaring:
   

A=[-3 5 1; 0 -1 0; 1 -6 1]

7. 
   diag(A) komandasi berilgan matritsaning diagonalida tugan elementlarni ekranga chiqaring:
   

A=[-1 5 1; 0 -8 0; 1 -1 1]

8. 
   Berilgan matritsani soat strelkasiga qarshi 90⁰ ga burish uchun ishlatiladigan rot90(A) komandasi:
   

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

9. 
   Berilgan matritsani soat strelkasiga qarshi 45⁰ ga burish uchun ishlatiladigan rot45(A) komandasi:
   

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

10. 
    Berilgan matritsani soat strelkasiga qarshi 180⁰ ga burish uchun ishlatiladigan rot180(A) komandasi:
    

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

11. 
    Matlabda matritsalarni yuqoridan pastga burishda flipud komandasidan foydalanish:
    

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

12. 
    Matlabda matritsalarni chapdan o’ngga burishda fliplr komandasidan foydalanish:
    

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

13. 
    Matlabda matritsalarni o`ngdan chapga burishda fliplr komandasidan foydalanish:
    

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

14. 
    Matlabda matritsalarni chapdan o’ngga burishda fliplr komandasidan foydalanish:
    

A=[-7 0 1; 0 -4 0; 1 -1 3]

15. 
    Matlabda matritsalarni chapdan o’ngga burishda fliplr komandasidan foydalanish:
    

A=[-3 0 3; 0 -7 0; 1 -2 1]

16. 
    A va B matritsalarni bir-biriga qo’shish
    

A=[-1 0 1; 0 -1 0; 1 -1 1];
B=[1 1 0; 2 -1 0; 3 8 1];

17. 
    A va B matritsalarni bir-biriga qo’shish
    

A=[-1 7 1; 0 -5 0; 1 2 1];
B=[4 1 7; 2 -5 0; 3 0 1];

18. 
    A va B matritsalarni bir-biriga ko`paytirish.
    

A=[-1 7 1; 0 -5 0; 1 2 1];
B=[4 1 7; 2 -5 0; 3 0 1];

19. 
    A va B matritsalarni bir-biriga bo`lish.
    

A=[-1 7 1; 0 -5 0; 1 2 1];
B=[4 1 7; 2 -5 0; 3 0 1];

20. 
    Matlab da for-loops va boshqa operatorlardan foydalanib nn o’lchamdagi ixtiѐriy A matrisaning ustunlarining yig’indisini hisoblovchi ustun_hisobi deb nomlangan m-faylni (m-file) yarating.