Mavzu. Matritsa va aniqlovchilar matritsalar ustida amallar: qo’shish, ayirish, songa ko’paytirish va ko’paytirish. Eslatma

(AB)C va A(BC) matritsalar ko’paytmasini hisoblang

(- 5 4
2 - 3

	( 3	0 "		(- 2"
, B =	- 2	1	, C =
	V ^4	^3 J		V ^3 J

0. 
   3
   
1. 
   -1
   

2
3

	( 1 -1^		( 2 0"		( 3	-1"!
5. A =		, B =		, C =
	V^- 1 1 J		3 -		V ^2	^3J

6. A =

1

5

Aⁿ matritsani hisoblang

1 1"

7. A =

8. A =

1	1	0 "
0	0	1
0	0	^0 J

ANIQLOVCHILAR
Har qanday n-tartibli kvadrat A matritsani A matritsaning aniqlovchisi (determinant) deb nomlangan ifoda bilan bog’lanishi mumkin va quyidagicha belgilanadi:

tartibli determinant quyidagicha aniqlanadi^
^^21 ^^22
^1 1^22 + ( ^21^^ ) .

2. 
   t

   ^a11	^ai2	^ai3
   а	^a 22	^a 23
   ^a3i	^a32	^a33

   
   
   
   artibli determinant quyidagicha aniqlanadi:
   

— (^aii^a22^a33 + ^ai2^a23^a31 + ^ai3^a2i^a32 ) (^ai3^a22^a31 + ^ai2^a33^a21 + ^aii^a23^a32 )
1. ⁶⁶Uchburchaklar” usuli yoki Sarryus qoidasi (3-tartibli determinat).

2. Diagonallar usuli (3-tartibli determinatni)


+ 4­3. 3-tartibli determinatni birinchi satr elementlari bo ’yicha yoyib hisoblash usuli

^a11	^ai2	^ai3
				^a22	^a23		^a21	^a23	+ ^ai3	^a21	^a22
^a21	^a22	^a23	^ai1	^a32	^a33	- ^ai2	^a3i	^a33		^a3i	^a32
^a3i	^a32	3 3

4. n-tartibli determinantni 1-satr bo ’yichayoyish usuli.




ya'ni

	^a22	^a23	•• ^a2 n		a 2i	^a23 •	2n a2
ca II IS	^a32	33	" ^a3n	^- ai2 •	^a31	^a33 ^•	^a3n
	2	^a„3 •	•• ^ann		^an1	^an3 ^•	^ann

+

	a	2 2 a2	n 2 a2			^a21	2 2 a	^a2 n-1
+ ^3 •	^a31	32	•• ^a3n	-	• + ^(- i)1+"^ain •	^a3i	^a32 •	' ' ^a3n-i