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VED1
E L-LOVELY-H math19-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 VIth 10-9-12

Hitesh Jhanji, Lovely Professional University fJekJh^19 L gfotos ns/ ftgohs w?fNqe;

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

(Transpose and Inverse of Matrix)

ftP/ t;s{ (Contents)
T[d/P (Objectives)
gq;sktBk (Introduction)

19H1 w?fNqe; dk gfotos (Transpose of a Matrix)
19H2 d' w?fNqe; d/ r[DB d/ gfotos (Transpose of Product of Two Matrices)

19H3 fB:fws w?fNqe; (Regular Matrix)
19H4 w?fNqe; d/ T[bN iK ftgohs (Inverse or Opposite of Matrix)
19H5 bzpe w?fNqe; (Orthogonal Matrix)

19H6 ;koKP (Summary)
19H7 Ppde'P (Keywords)

19H8 nfGnk; gqPB (Review Questions)
19H9 ;zdoG g[;seK (Further Readings)

T[d/P (Objectives)

fJ; fJekJh d/ nfXn?B s'A pknd ftfdnkoEh :'r j'Dr/L
• w?fNqe; d/ gfotos B{z ikDB ;zpzXh.

• d' w?fNqe; d/ r[DB d/ gfotos dh ikDekoh gqkgs eoB ftZu.
• fB:fws w?fNqe; B{z ;wMD ftZu.

• w?fNqe; d/ T[bN iK ftgohs ;zpzXh gqPBK B{z jZb eoB ftZu wdd fwb/rh.
• bzpe w?fNqe; ;zpzXh rZbK B{z ikDB ;zpzXh.

gq;sktBk (Introduction)

gq;s{s gkm ftZu w?fNqe; d/ gfotos ns/ ftgohs dh uouk j?. fJ;d/ nzsors i/eo A fJZe
m×n eqw dk w?fNqe; j?, T[d'A fJ; dhnK gzeshnK ns/ ;szGK B{z nkg; ftZu pdbD Bkb fijVk
n×m w?fNqe; gqkgs j'J/rk, T[;B{z A dk gfotos ejKr/.

i/eo w?fNqe; A ns/ B r[DB d/ bJh nB[ebB jB, sK AB dk gfotos T[seqw ftZu gfotosK d/
r[DBcb d/ pokpo j't/rk.

19H1 w?fNqe; dk gfotos (Transpose of a Matrix)

i/eo A ns/ m × n eqw dk w?fNqe; j?, T[d'A fJ; dhnK gzeshnK ns/ ;szGK B{z nkg; ftZu pdbD
t
T
Bkb fijVk n × m w?fNqe; gqkgs j't/rk, T[;B{z A dk gfotos ejKr/ ns/ A′ iK A iK A Bkb
do;ktKr/.

LOVELY PROFESSIONAL UNIVERSITY 279