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VED1
E L-LOVELY-H math22-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^22 L nkt:{j (w?fNqe;) dh o?Ae

;wheoD (1), (2) ns/ (3) B{z jZb eoB s/ B'N
C 1 = –10, C 2 1 ns/ C 3 = 14
j? sK o/yh fBoGosk d/yh ikt/rh,
Gkt R 1 R 2 ns/ R 3 o/yh fBoGosk j't/rh feT[Afe e'Jh o/yh ;z:'r Iho' BjhA j? Gkt o?Ae (A) = 2
j't/rh.

22H2 ;koKP (Summary)

• e/tb Iho' w?fNqe; dh jh Iho' o?Ae j[zdh j?.
• rank (A) ≤ min (m, n) {o?Ae (A) ≤ fBT{Bsw (m, n)}
• i/eo A tor w?fNqe; j? (m = n) sK A sK jh gfotosh j't/rh id'A A dh o?Ae n j't/rh.
• o?Ae (AB) ≤ fBT{Bsw (o?Ae A, o?Ae B)
• o?Ae (A) + o?Ae (B) – n ≤ o?Ae (AB)
• o?Ae (A) = o?Ae (A) {C ;fEo nze jB}

22H3 Ppde'P (Keywords)

• w?fNqe; o?Ae (Matrix) ^ ;[szso ;szGK dh tZX s'A tZX ;zfynk.

22H4 nfGnk; gqPB (Review Questions)

1H j/mK fdZs/ rJ/ w?fNqe; dh o?Ae gsk eo'.

2H o/yh ;[szsosk dh iKu eo'

22H5 ;zdoG g[;seK (Further Readings)

p[e;
1H w?E/w/fNe; cko fJe'B'fwe; ^ ekT{Af;b cko fJe'B'fwe n?i{e/PB.
2H w?E/w/fNe; cko fJe'B'fwe; ^ ekob ghH f;w'B, b'o/A; pb{w.
3H J;/AfPnb w?E/w/fNe; cko fJe'B'fwe; ^ B'N ;/v/;No, ghNo jkwzv, gq?AfN; jkb
gpfbH.
4H w?E/w/fNe; cko fJe'B'fwe; ^ wkbe'w, fBe'b;, :{H;hH bzdB.
5H w?E/w/fNe; cko fJe'B'fwe; n?Av ckJhBK; ^ wkofNB BkowB.
6H noEPk;soh dk rfDs ^ wkJheb j?oh;B, g?fNqe tkbvoB.
7H w?E/w/fNe; cko fJe'B'fw;N ^ w/jsk ns/ wdBkBh, ;[bskB uzd n?Av ;z;.
8H w?E/w/fNe; cko fJe'B'fw;N ^ f;w'B ns/ pb{w, thtk gpfbe/PB.
9H w?E/w/fNe; cko fJe'B'fw;N ^ :kwkB/, gq?AfN; jkb fJzvhnk.

LOVELY PROFESSIONAL UNIVERSITY 311