SEP
Instituto Tecnológico Nacional
INSTITUTO TECNOLÓGICO DE TOLUCA
Robótica PROFESOR: Fis. Eliseo Rivera Silva
Metepec Exae! "ia#!ostico e! Mat$%& %$'M(OS: )S)"RO OR*E+% ES'S OR$%("O M%R*-(E OSOR(O EMM%('E$ M%R*)(E *ORRES %$"O PERE /')%(O R)%R"
)(+E()ER-% ME%*R()%
Metepec, Estado de México, Febrero, 2018
ódi#o para resolver el exae! 34e e!vió % EJERCICIO 1.%DECLARACION DE MATRICES A=[1 1 0; 0 1 1; 0 1 1] B=[i 1-i 2+i; 0 -1 3-i; 0 0 -i] C=[1 1 1; 0 sqr!2"#i -sqr!2"#i; 1 -1 1] %C$&'(s % A" D=AB-BA D=!A#B"-!B#A" % B" E=A)2+B)2+C)2 E=A)2+B)2+C)2 % C" *= ABC *=A#B#C % D" = sqr!A"+sqr!B"+sqr!C" = sqr!A"+sqr!B"+sqr!C" % E" ,)A!,)B+,)C" E=,!A"#!,!B"+,!C"" %R$/( R$/(A=r$/!A" R$/(B=r$/!B" R$/(C=r$/!C"; %I/,rs$ I/,rs$A=i/!A" I/,rs$B=i/!B" I/,rs$C=i/!C" %Tr$$ Tr$$A=r$&,!A" Tr$$B=r$&,!B" Tr$$C=r$&,!C" %D,,r4i/$/, D,,r4i/$/,A=5,!A" D,,r4i/$/,B=5,!B" D,,r4i/$/,C=5,!C" %6$(r,s si/'$r,s 6$(r,si/'$r,sA=s5!A" 6$(r,si/'$r,sB=s5!B" 6$(r,si/'$r,sC=s5!C" % 2.- CONSIDERE LA MATRI7 M=[1 -1 3;-1 i -1-2i; i 1 i-2] %C$&'$r (s $(r,s 8 ,&(r,s r(i(s [6,&(r,sM $(r,sM]=,i!M"
%9(i/(4i( &$r$&,risi&( 5, $ 4$ri M 9(i/(4i(=(8!M" %3.- CO/si5,r, $ si'i/, 4$ri :=[1 -2; -< 3 1; 2 2 -2] %D,s&(4(si&i(/ 5, S&'r SC>?R=s&'r!:" %D,s&(4(si&i(/ 5, L? [L1@?] = '!:" %D,s&(4(si&i(/ 5, R [@R]=qr!:" %D,s&(4(si&i(/ 5, C>OLES %C>OL= &(!:" %D,s&(4(si&i(/ 5, >,ss,/,r >ESS=,ss!:" %5,s&(4(si(/ 5, (s $(r,s si/'$r,s $(r,ssi/= s5!:"
