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Édition du fichier mulmatrix.jps
Retour
%% PhS gh %% Produit de matrices %% échelle et étendue de l'image 60 setxunit 0 12 setxrange -1 12 setyrange %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% définitions des couleurs %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% /coul0 {noir} def /coul1 {noir} def /coul2 {bleu} def /coul3 {rouge} def /coul4 {vert} def %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% On définit les coefficients intéressants comme noeuds %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul1 0.2 setdboxit (ai1) cnode
$a_{i1}$
1 3 [2.5 dup] cctexlabel (ai2) cnode
$a_{i2}$
2 3 [2.5 dup] cctexlabel (aip) cnode
$a_{ip}$
5 3 [2.5 dup] cctexlabel (b1j) cnode
$b_{1j}$
9 10 [2.5 dup] cctexlabel (b2j) cnode
$b_{2j}$
9 9 [2.5 dup] cctexlabel (bpj) cnode
$b_{pj}$
9 6 [2.5 dup] cctexlabel coul2 (ai1) (b1j) (<->) ncarc (ai2) (b2j) (<->) ncarc (aip) (bpj) (<->) ncarc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% On place les autres coefficients %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% .5 setlinewidth pointilles coul0
$a_{11}$
1 5 [2.5 dup] cctexlabel
$a_{12}$
2 5 [2.5 dup] cctexlabel [2.5 5 4.5 5] (-) ligne
$a_{1p}$
5 5 [2.5 dup] cctexlabel coul0
$a_{n1}$
1 1 [2.5 dup] cctexlabel
$a_{n2}$
2 1 [2.5 dup] cctexlabel [2.5 1 4.5 1] (-) ligne
$a_{np}$
5 1 [2.5 dup] cctexlabel coul0
$b_{11}$
7 10 [2.5 dup] cctexlabel
$b_{21}$
7 9 [2.5 dup] cctexlabel [7 8.5 7 6.5] (-) ligne
$b_{p1}$
7 6 [2.5 dup] cctexlabel coul0
$b_{1q}$
11 10 [2.5 dup] cctexlabel
$b_{2q}$
11 9 [2.5 dup] cctexlabel [11 8.5 11 6.5] (-) ligne
$b_{pq}$
11 6 [2.5 dup] cctexlabel [1 1.5 1 2.5] (-) ligne [2 1.5 2 2.5] (-) ligne [5 1.5 5 2.5] (-) ligne [1 3.5 1 4.5] (-) ligne [2 3.5 2 4.5] (-) ligne [5 3.5 5 4.5] (-) ligne [9.5 10 10.5 10] (-) ligne [9.5 9 10.5 9] (-) ligne [9.5 6 10.5 6] (-) ligne [7.5 10 8.5 10] (-) ligne [7.5 9 8.5 9] (-) ligne [7.5 6 8.5 6] (-) ligne coul3
$c_{ij}$
9 3 [2.5 dup] cctexlabel coul1 pointilles [2.5 3 4.5 3] (-) ligne [9 6.5 9 8.5] (-) ligne %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% tracés autour de c22 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul2 .5 setlinewidth continu [.5 3.5 5.5 3.5] (-) ligne [.5 2.5 5.5 2.5] (-) ligne [8.5 5.5 8.5 10.5] (-) ligne [9.5 5.5 9.5 10.5] (-) ligne pointilles [5.5 3.5 8.5 3.5] (-) ligne [5.5 2.5 8.5 2.5] (-) ligne [8.5 3.5 8.5 5.5] (-) ligne [9.5 3.5 9.5 5.5] (-) ligne 2.5 setlinewidth continu [8.5 3.5 9.5 3.5] (-) ligne [8.5 2.5 9.5 2.5] (-) ligne [8.5 2.5 8.5 3.5] (-) ligne [9.5 2.5 9.5 3.5] (-) ligne %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% tracés des parenthèses %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul1 1 setlinewidth 105 255 [.8 3 0.5 2.5 0] Ellipse -75 75 [5.2 3 0.5 2.5 0] Ellipse 105 255 [6.8 8 0.5 2.5 0] Ellipse -75 75 [11.2 8 0.5 2.5 0] Ellipse coul3 105 255 [6.8 3 0.5 2.5 0] Ellipse -75 75 [11.2 3 0.5 2.5 0] Ellipse %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Noms des matrices %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 18 setfontsize coul1
$A$
3 0 [2.5 dup] cctexlabel coul3 setTimes (n lignes) 3 -.2 dltext % (,) 3 -.2 dctext coul2 setTimes (p colonnes) 3 -.2 drtext coul1
$B$
9 11.2 [2.5 dup] cctexlabel coul2 setTimes (p lignes) 9 11 dltext % (,) ) 9 11 dctext coul3 setTimes (q colonnes) 9 11 drtext coul1
$C=A\times B$
9 0 [2.5 dup] cctexlabel coul3 setTimes (n lignes) 9 -.2 dltext % (,) 9 -.2 dctext coul3 setTimes (q colonnes) 9 -.2 drtext %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% Formule du produit matriciel %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% coul1
$c_{ij}=\displaystyle\sum_{k=1}^p a_{ik}b_{kj}$
3 8 [2.5 dup] cctexlabel
Tapez les 3 lettres : AWE