А г Ал л - ' =
1
4 ,
А г А„ D( A) Ал 4,2
А,, B u ye rd a A ^ - A m a trits a a n iq lo v c h is in in g a lg e b ra ik to ‘ ld iru v c h is id ir.
A jj - m a trits a s in in g e le m e n tla ri A m a trits a s in in g a n iq lo v c h is id a g i i -
q a to r v a j - u s tu n la rn i o ‘ c h irg a n d a h o s il boM gan a n iq lo v c h ig a (-1 ) n i
k o ‘ p a y tirib hisoblanadi.
Shunga e ’tib o r berish k e ra k k i, q u rilis h m exanikasi m asalalarini yechayot-
ganda va tekshirayotganda, q u yid ag i bogManishlardan fo yd a la n ish m u m kin :
x = - A ' 1 A E bu esa A 'A = E - b ir lik m a trits a s id ir.
Y u q o rid a k o ‘ rsa tilg a n id e k, nomaM um h a d la r m atritsasi x = - A " ’ B teskari
A ' 1 m a tritsa si o rq a li to p ila d i.
A m atritsa D (A ) = 0 boMgandagina teskari A -1 matritsasiga ega boMa oladi.
M is o l. A m a trits a n in g te ska ri q iy m a ti a lg e b ra ik to M d iru v c h ila r o rq a li
to p ils in .
B e rilg a n :
A = 2
- 1
0
2
4
- 2
5
A lg e b ra ik to M d iru v c h ila r q u y id a g ic h a a n iq la n a d i:
' 0
2
- 2
5
4 i
= = 4 .
4
m
=
3
2
4
5
= - 7 .
3
0
2 - 1
= -6 •
4-> =
= - 8
4
- 2
^ 5
I- (N
1
D e m a k, te s k a ri m a tritsa A n in g to ‘ ld iru v c h is i
4 8
4
A = - 7
9
- 5
- 6
10
- 6
q u y id a g i a n iq lo v c h ig a ega b o ‘ lib :