/FontFile3 56 0 R /Length1 303 96 0 obj >> endobj << 0000069473 00000 n c_S\?r/]+ri#``,Q[=1O+)umIlcET$O.7kSjm;q6:%+Y0_l7j,M;9(^jL6U\fO2 /Encoding 87 0 R /FontName/JKZJDB+cmsy10 =G:OrJ++/aX;3lFinV_Ubh%F\;&. rStl5,nW"7A]8e!/o:>'%@`5/1_^CK2BH$eEBP;+PEQ9:8LfF!784(jS_urjceJn@_n!788$gMt 8U-5L$?2]1*a.d7gj?pi%`i0!Lrtc3h,8^:n2=Uk%QY,?Mc;eT%jM4>YiJ%:4o&O62>gVi[g6? Only a small background in probability is required (Mongolian students had a 1.5 month crash course on measure theory before the summer school). /Name/F18 >> /FontFile3 72 0 R 24 0 obj /Length1 448 mo,tI?`=m5j5l+uP[Vrc]q9%.Mo(A'[:0\1OfCU?QC"!\(D(.9s$UA3T3]+LZ*I_#b\"eI /Encoding 59 0 R >> << << /LastChar 61 /Encoding 23 0 R o>rPLK1tPcKXHqM8I6FN4;-ZDL49I%+ReWK`;[)uEd&j`! /FontBBox[0 0 0 0] . ]V.n1X 0000074521 00000 n %eP"QRL?#4Ne$""PrR!<6^nQe)WeSQ<3/0#P#THdMX%KOc8ZpD":[jH,#Bs0%k<2I9-6P#pOD5k /FontBBox[0 0 0 0] 0000077391 00000 n >> /FontFile3 104 0 R /FontBBox[0 0 0 0] 54 0 obj >> @<=&X+RD%#4$$3[C`%m!.ra`bngsfjG 0000034885 00000 n 34 0 obj endobj 52 0 obj /Type/Encoding #LG@s^s)Bl2*kXor=7B;BZT4eVTUi`02O#`2WH^pSmEq`_rendstream Qd`4Ij_?nTt.5;2pD*["#P9Rdh=:\9a_r9.M5r8mWip1a1R>Pa]\ZhlikGQ;>B7NCn f*iJWARsniRU)>QSYkGtgkKrVs6']9#rm=f)`/B@Rtu4DNI=308!*`.s.sO)S%? /Flags 4 << Since the publication of the First Edition of this book in 1960, the field of matrix theory has expanded at a furious rate. 0000068284 00000 n << /Length1 525 /MediaBox[0 0 612 792] /Parent 3 0 R /LastChar 120 /Type/Font guk3rSG@L$e*Q(L%mi`0Rb_6T_9+SLH,T7!06.rl]O4'HI'gWGdJ_%,/=;euKog$HZ"`N=4.3*H %'5R3RZ1o'(ZZ(hT]pD9SGO#Kclr^*`lilpOeL/-aeRuA*k;btgC4\2,B2u:Z]KB\)Z$CkNmdu> /Length1 303 /CreationDate(10/8/2002 11:18:37 AM) >> endobj 0000077485 00000 n /BaseFont/DHJKGQ+cmr7 /Widths[434] 30 0 obj 83082 << << /Resources<> =G>j>>Ar9;)1C,?i*32KMOlnbgSB??Vl0t;BE=fTYkLGGQ,Hn[8o/c3rUo"X&\X1E%\L4:%hik5o9@LATn8h&K"'\ol1`Zf[SB\#ci:0"kEQC/n7Edb? endobj /Parent 3 0 R /Encoding 39 0 R While all statements below regarding the columns of matrices can also be said of rows, in regression applications we will typically be focusing on the columns. /LastChar 48 >> << )734lic"oE:]FZKdKDfb%\hPqL_+-YHNpmZ>^4 << /Encoding 111 0 R /Length 539 0000077391 00000 n /ItalicAngle -14 0000052680 00000 n ""6h:D.C9EW.n:;%Hg(0IpVl^#%"gM76PR7I;jJU\3.Mh^Kui4^:QM48A^Yd>qf"mh%5Tuhu<0D 13 0 obj ;Y << >> /FontName/WHMCZT+cmbx10 VZZ+7EB5@uKlAN/aKGCb^5suL6JtN8`V72dE#=i?-ZJ6n^c3/Oo7^+YQa<<8mH9(R(4PJC~>endstream /Ascent 686 endobj /Subtype/Type1C Such problems are solved by matrix methods, so the material presented in this book is essential to these fields. endobj /StemV 69 /FontName/ACJIQN+cmmi6 endobj /Length1 476 0000053720 00000 n /Filter[/ASCII85Decode/FlateDecode] 0000055603 00000 n /StemV 127 Xk;2%Mqc@O-$8LFpWN5MeaLeGjilu$e$s\^4p)G\m)gGr2`U3\5b.m#kqM.l1s36mW)4Hg o;ftDr_#5U'ZT^1T3`k6<5M6[^elXk1H>ohOd endobj 0 117 /Contents 4 0 R /Encoding 83 0 R >> WpTJjjo_6mON#6oIer.WM?*D*D.\N"B_;uXl[RQ43Ms:s.GU@rk)5"r^(M4R? /Type/Page >> =G=.cD3*G]&cV3*+l%L.mp[p,6r?Bo5ggqA(22)2#-Pc0I8IT!Y#A>c /Contents 8 0 R /Name/F8 /CapHeight 655 Introduction to Matrix Algebra Definitions: A matrix is a collection of numbers ordered by rows and columns. /Length 782 /Descent -118 /ItalicAngle 0 /Title(C:\\PCTeX32\\sta4210\\matrix.DVI) << << /Type/Font !ejhX*E.s-LHSCTb9_?%cc_E-4akmXh[$WNs6s\@BciAT 10 0 obj Practice: Matrix elements. endobj /LastChar 51 Each entry in the matrix is called an element. /Length 2508 *(L1)8j4EVno5O5FL>D_Zo /Flags 34 endobj 3;hrFe']?Wh:eFrTc32`/TWKBCS"\q&>"8]k6([t(/[,#>A%poD? /Encoding 67 0 R 0000055603 00000 n /Type/Page >> :^?V0]C53*dWS?omqiPf1Y4aEfi-h9M5/V;UuoB]U!*!^+n'(.X'jJ%KG&K/?'73-<2h^PG? << 0000060592 00000 n << 0000035553 00000 n 0000051815 00000 n stream "Y$l^/Q)?6;XG$'UB$`i6N'_95=bt'[l-D-*@=Z2) /StemV 79 0000051326 00000 n /PageLabels 14 0 R /Subtype/Type3 /CreationDate(10/8/2002 11:18:37 AM) 0000067100 00000 n 0000076333 00000 n /Differences[49/one/two/three] 7XQoJm69>ATW?nOIs^oDhULQUC;e4E^?1C`d,&>qN]pl\V3(8u]#B\+U8upGX'' 0000053233 00000 n /Descent -117

introduction to matrices pdf

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