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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;

• tor w?fNqe; A B{z fB:fws ejKr/ i/eo B nfij/ w?fNqe; n;fsst ftZu jB id'A BA = I, B'N
fiZE/ I T[;h eqw dk ss;wekoh w?fNqe; j?.
• n;hA fB:fws w?fNqe; A B{z T[bN (Invertible) ejKr/ ns/ B B{z A dk ftgohs ejKr/ ns/
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T[;B{z A do;ktKr/.
• fe;h T[bN w?fNqe; dk ftgohs (Inverse) ftbZyD j[zdk j?. ftbZyD dk noE j?^i/eo A
dk ftgohs B j?, sK B d/ fJbktk e'Jh d{ik w?fNqe; A dk ftgohs BjhA j?.
• i/eo A ns/ B T[bN w?fNqe; jB ns/ T[jBK dk eqw n j?, T[d'A T[jBK dk r[DB AB th
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T[bN j? ns/ (AB) = B A H
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• i/eo A, B, C,....,AM ;wkB eqw d/ T[bN w?fNqe; jB, T[d'A (A.B.C....M) = M ....C B
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A i/eo A fB:fws tor^w?fNqe; j?, T[d'A AB = 0 B = 0;
• i/eo B fB:fws tor^w?fNqe; j?, T[d'A AB = 0 A = 0 w?fNqe; ftZu gfotos ns/
T[bN fefonk eqw^ftfBw/: (Commutative) j?.
• i/eo sK A B{z bzpe w?fNqe; efjzd/ jB.
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• i/eo A tor w?fNqe; j? ns/ A = I (ss;we iK fJekJh), sK A B{z n;t?fJS[Ze
(Involuntary) w?fNqe; efjzd/ jB.

19H7 Ppde'P (Keywords)

• nfdP (Scalar) ^ fi;dk Bshik j't/, gozs{ fdPk BjhA.
• T[bN (Inverse) ^ ftgohs.

19H8 nfGnk; gqPB (Review Questions)

1H f;ZX eo' fe
2H ;kfps eo' fe

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3H i/eo j'D sK A eZY'. (T[Zso L )

T[Zso L ;t?^w[bKeD (Answer: Self Assessment)

1H r[DB 2H ss;wekoh 3H ftbZyD 4H fB:fws 5H bzpe
6H ;Zu 7H M{m 8H ;Zu 9H M{m 10H ;Zu

19H9 ;zdoG g[;seK (Further Readings)

p[e;
1H noEPk;soh dk rfDs ^ wkJheb j?oh;B, g?fNqe tkbvoB.

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