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MATRICES SOMES hee ee, ea Table s Matrix (Tey) a Notebooks Pems Radha is E> [lice g Fouzia lo Bl. 5) Ia as. Simran re | € Ls ¢ ees mM | ¢ CS q Sa GS Th Vy lo 13 is Jo 1% Pens MP = | Fl I: 2 ey ordeved & Pr wectangular avray of BY MumMmbeve (iD f Ms 2 ae Cale i} cortex Row (8) \&) ‘] i [i : Foaieits (Ewhvies) of Math». ee, GizD shape. e9. No. of Rows & No. of Colowms Gey we. a) Reel 1s lo | oS 4 2 ¢ as ire a a 13, : hs *) CL Cy E Se Hrevneral Re presentation of Matrices T ae pee 4 matin ood ordexe ny No: of wows -— Mm ma | Colors = ™”) A W egies I= Row @] hi 4 ee 31> Column a An, pe I fe) Fl. & ; h 44 (ae) fs)... fd > ee ara ai: Go c Cn S38 Conghvet roars 08) whoF each Hemet a EA ae fee (3). = an Q@ IG 4a Re io > | Py: Wiel) order 2A Rois Columns . iy Sy GR. @) Diogonal Matnn (Pro? srr) Squat matin whose Non- Hosonal emends =o e.g. gt Be A Cl) Ss ak NG Vt SNe 3 © Scalaw Madna (3027; WEES) Diagonal al 9 bil) di OD RH cane ame equal) agonal CNewmendy Bef: 3] ay © Ddewbity mabin ( dere w/o sneye ) & Scalar’ rate whose diaggrul Aems = | EI. I. = A + ies Eavehity of Madty\ces- TWel mahtoes w P= & | are Said de be Canal ip ci) Guten a dawn @ cry !€!Cach Corresponding ehement 4 i) j a yy pu 2 Ss Mt = 4 < (8.6 Gi) MAYES WAZ. ote 3x| By eguclity of Matyices. Wrdte= 9 CaM - 9° Wess —@ ae a i aes AAO - en ign = Ff wir a AG ti, ee (Q3) ie (2) Dane Square mats no-af yous * WW = 2-3 = os 2 © © © to fil] it S8a,, -@ Possible entries = © ar No. of ways to fill alk places G em aM DEK 21 De XV 2 X 2A DXWED =51. Phe —s (multAication whe of Counting a ae eg MiP MN plication of a Scalar, with a Mad ro. a. SAV , (Ke) . Pe, (A Pa Ka = (ered g 6 oa a (4 Ti KA = AG $ PN a aie) Baie otk 4 ae 2s MULTIPLICATION of Two , Madyces A= Cae Be (bi) C+ BA) CR AG Silo «des Meee J be VAX K YNo Commmuta hive 0 ia a eT: | Cea Citar. [hls 4 ah f “ ey 243 ae 3K Due to OM 1e R Gx) +CIxD + oxcy Cd + ORCS) \) 2x0 +E x3+Or-1) (-4,.C2),0 Opt (Qrt AG -S boa <5 = ae 7 os ON 6 +3240 Ae) R ar © i) ae 5 Sey | ee + “a r Z [os ae 2x9 zy LS Dve fo Mie R, ‘- Gx) +CIxD + oxen 2x9 +E) x34GR-)) (ACA) 0 MCCS) oo emacd 20 27 38 +) 6 +3240 \) Chere 9 [ae a7 Cais Maths Q\3, QT Q-6 a Cos CoS Sin® Ds a) Sin) cose CoB Sing Caso SiO siv-@ — Sin b-co so i CSO Cos - Sin 6 cp. in Pos6 since 2% fe sn o5 ew Bs Cexh + cine é = A 4 x ie et i VT ger ig . (ii) 208 37> (Fed. Brs-(* 3 , Elimination cM ORR nenete J =f eee. 6K + AY = a(y y 7 a oe EB id. (* @ es TR BONE i (dy yrs tet A SIME CokW -/o F(x)-F() = Fury ) (@ [eo | Wh ie F(x). FUSS Flaty) a» | OM -sinn fo) GoS4 —simy o Simv Cosy OP Sind Cosy "| lo) ° | (0) o i ia CoS(a +9) ga? (Hey) o SG | caltyy 8 ° | LHs= FCX) Fu) sy a |(.Covw -SmMW, © Cesy ) —Simy] oO ee Stay) cosy] a oO ° | ee A (o) of I 318) hs a [ CosW.CoSd. = Sint Sin + 0 TCOSASIVY — Sint S449 O10 re Sinn Cosy + oe ee — Sinn Siny + CoS Wcasy 4-0 C.. ae in oo () Eos) au) te ek a Oo +0 orot) L— \ ——_ uJ Cos(a¥3) —smoty oO syn(nr9) coS(a+) of Fly) ° i) \ = He \ es @J= «A — or ce 1 “| hey Se a > fa} ep ele a] ee : “4 SIs o> “ td 1. a fi a bay ae oie am 
