Matritsalar


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1-mavzu. Matrisa va ular ustida amallar


  1. amaliy mashg‘ulot. Matrisa va ular ustida amallar

1

" 1 2

3 "




"-2 3 0Л







, B =




,0 1

-1,

, 2 11 ,



.1. Quyidagi matritsalarning 2
A + 3B chiziqli kombinatsiyasini toping, bu yerda
A


=

" 2

-1

0 "







" 3

1 2л

3

4

-2

, B

=

-2

1 3

v-3

1

5 j







v 0

^t-
i
2

" 1

-1

-3 ^







0 3

2 ^




/

1.2. 4 A -
5B, A =

2 1

B =

-1 4 1




" 1 2

3 л




"-2

3

0 л




" 2

4
6

2







+ 3 •










=










v0 1

-I




v 2

1

1 >




v0

(N
1
2

- 6

4 + 9

6 + 0 л

"-4




13

6 л







+ 6

2 + 3

-2 + 3,

, 6




5

1j










+

"1 2

3 "




" 3

4

5 ^



















va B =

6

0

-2

v1 0

-1













V

/

,7

1

8 ,




1.4. A =


matritsalar ko‘paytmasi (agar mumkin bo‘lsa)ni toping.
'3 4 5 л


Yechish. 2 A + 3B =
2 •
'-6 9 0Л r

+

6 3 3

v

Berilgan matritsalarning chiziqli kombinatsiyasini toping:

1.3. 3A +
2B, A =

matritsalar berilgan. AB
va BA




1 2 3 1 0 -1

Yechish. AB =


6 0 -2 7 1 8






3
1




f 3 4Л

1.5. A




, B







v5 -4,




v2 5 y



1
f 3 л
1 -1 5
v 2
y

1 2
v3
°y

bo‘lsa, f
(A) matritsali
.6.
A = (4 0 -2 3 1), B




f 2

1

-1|




f 1 -11

1.7. A

0

1

0

, B

0 1




v 0

0

-1y




V1 0 y







f 1

-1

21




f 3 4

11

1.8. A

2

3

4

, B

0 2

5




v-4

5

1 y




v1 -1

4 У

1.9. Agar f (x)

— —2 x + 5 x + 9,


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