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E L-LOVELY-H math19-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 VIth 10-9-12

fJekJh^19 L gfotos ns/ ftgohs w?fNqe;

∴ B'N

fJ; Bshi/ B{z nB[ebB eqw d/ fe;h th ;zfynk d/ w?fNqe;K sZe ftnkge ehsk ik ;edk j?, Gkt

B'N; i/eo A = B T[d'A fJ;h soQK A dh e'Jh th XBkswe g{oD nze
(Positive Integer) xks b?D s/

19H3 fB:fws w?fNqe; (Regular Matrix)

Tor^w?fNqe; A B{z fB:fws ejKr/ i/eo B nfij/ w?fNqe; n;fsst ftZu j? id'A BA = I, fiZE/ I
T[;h eqw dk ss;wekoh w?fNqe; j?.

eh s[;hA ikDd/ j' fijVk tor^w?fNqe; fB:fws BjhA j?, T[;B{z ftfuso (Singular) w?fNqe;
efjzd/ jB.

n;hA fJj f;ZX eoBk ujKr/ fe i/eo BA = I j?, AB = I th j'J/rk. w?fNqe;^r[DB d/ o{g ftZ f;ZX
eoBk j'J/rk fe i/eo

T[d'A

fijVk fe Bk e/tb ;Zu j? pbfe ;gPN j?.

;t?^w[bKeD (Self Assessment)

ykbh ;EkBK dh g{osh eo' (Fill in the blanks)^
1H i/eo w?fNqe; A ns/ B r[DB d/ bJh nB[ebB jB, sK AB dk gfotos T[seqw gfotosK
d/ HHHHHHHHHHH d/ pokpo j[zdk j?.

2H tor^w?fNqe; A B{z fB:fws ejKr/ i/eo B nfij/ w?fNqe; n;fsst ftZu jB id'A BA = I,
fiZE/ I T[;h eqw dk HHHHHHHH w?fNqe; j?.
3H fe;h T[bNh w?fNqe; dk ftgohs HHHHHHHHH j[zdk j?.

4H i/eo A HHHHHHHHHHH tor w?fNqe; j?, T[d'A AB = 0 B = 0
5H i/eo sK A B{z HHHHHHHHHHHHHH w?fNqe; efjzd/ jB.

19H4 w?fNqe; d/ T[bN iK ftgohs (Inverse or Opposite of Matrix)

i/eo tor^w?fNqe; A fB:fws j? T[d'A nfij/ tor w?fNqe; B dk n;fsst j? fe BA = AB = I
fJ; soQK n;hA fB:fws w?fNqe; A B{z T[bN (Invertible) ejKr/ ns/ B B{z A dk ftgohs ejKr/
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ns/ T[;B{z A do;ktKr/. fJ; ;fEsh ftZu t:{j dk T[bN j/m nB[;ko eZfYnk iKdk j?^

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