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VED1
E L-LOVELY-H math18-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N

B'N; ;zfynktK a 11 , a 12 , ............... w?fNqe; d/ xNe iK ;zxNe (Elements or
Constituents) ejkT[AdhnK jB.

fyfsi (Horizontal) ;zxNeK d[nkok gzesh (Row) ns/ yVQt/A (Vertical) ;zxNeK Bkb ;szG
(Column) pDd/ jB. fi;B{z^

fJZe nkfJskeko ftB:k; jB fi; ftZu 2 gzeshnK ns/ 3 ;szG jB ns/ 2 ×
3 & 6 ;zxNeK dhnK ;zfynk jB.

fJ;h soQK fJZe nkfJskeko ftB:k; j? fi; ftZu 3 gzeshnK ns/ 1 ;szG j? ns/

gqt/PK (Entries) dhnK ;zfynktK 3 × 1 & 3 jB.

18H1 w?fNqae; dk eqw iK ftwktK (Order of Matrix)
fit/A nkfJskeko (Rectangle) dhnK d' ftwktK bzpkJh ns/ u"VkJh j[zdhnK jB T[;h soQK w?fNqe;
dhnK ftwktK gzeshnK dh ;zfynk ;szGK dh ;zfynk j[zdh j?. gfoGkPk ftZu fdZs/ j'J/ w?fNqe; B{z
A, B, C nkfd Bkb ;ze/s eod/ jB. fit/A A m×n . B 2×3 . C 1×3 nkfd.

18H2 w?fNqe; dk ;ze/sB (Notation of a Matrix)
i/eo fe;h th w?fNqe; ftZu gzeshnK ns/ ;szGK dhnK ;zfynktK m ns/ n j'D, sK nkfJskeko
th
th
ftB:k; ftZu e[ZbQ m × n ;zxNeK dh ;zfynk j't/rh. w?fNqe; dh i gzesh ns/ j ;szG ftZu
;zxNeK dh ;fEsh a ij j't/, sK w?fNqe; B{z j/m nB[;ko fbfynk iKdk j?^
A m×n = A = [a ij ] m×n
fiZE/, i = 1, 2, 3, ...., m ns/ j = 1, 2, 3, ...., n j?.

eh s[;hA ikDd/ j' fJZE/ fJj T[b/y:'r j? fe w?fNqe; ;zfynktK dk nkfJskeko ftB:k; (ftP/P
;zrms ns/ ;zy/ge o{g ftZu fby/ j'J/) wkso jB. fJjBK dk e'Jh
;zfynkswe wkB BjhA j?.

18H3 t:{j d/ gqeko (Kinds of Matrix)

[I] tor w?fNqe; (Square Matrix)

i/eo fe;h wfNqe; ftZu gzeshnK ns/ ;szGK dh ;zfynk pokpo j? T[d'A T[;B{z tor w?fNqe;
efjzd/ jB. Gkt i/eo m = n j't/ sK nze nkfJs B{z n eqw dk tor t:{j efjzd/ jB. j'o t:{j
fiZE/ j'D T[j nkfJskeko t:{j ejkT[Ad/ jB. T[dkjoD ti'A,

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