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CLCULOS SIMBLICOS EN MATLAB
TALLER #2: MATEMTICAS ESPECIALES PARA INGENEROS
DE VILA DOMNGUEZ ANGELICA
Mg. ALEXANDER TADEO GUTIERREZ PUCHE
UNIVERSIDAD DEL ATLNTICOFACULTA DE INGENIERA
PROGRAMA DE INGENIERA INDUSTRIAL
BARRANQUILLA ABRIL DE 2!"
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TALLER N$ 2. "% DE MARZO 2!".
>> format rat
>> A=[1/2 4; 3 -1]
A = 1/2 4
3 -1>> B=[1 -3 4; 5 6 -1/3]
B =
1 -3 45 6 -1/3
>> C=[1 -20 -9; 8 5 -15]
C = 1 -20 -9
8 5 -15
>> D=[1 -5/2 5/4; 8 10 -3; 4 3-20]
D = 1 -5/2 5/4
8 10 -3
4 3 -20
>> E=[4 3 2; 5 -3 4; 8 10-13/2]
E = 4 3 2
5 -3 4
8 10 -13/2
>> F=[1 2; 3 4; 5 6]
F =
1 23 45 6
>> H=[-1/2 4; 3 -2]
H =
-1/2 43 -2
HALLAR:
". A22AA>> A^2 - 2A - Aa!" =
43/4 -14-21/2 16
2. H24A5H>> H^2-4A-5Ha!" =
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D
det ()>> ,)tD^3a!" =-196122941
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TALLER N$ . !2 DE ABRIL 2!".>> format rat
>> A=[-1/2 4 5 8; -3 15 -3/5 -1/5; 10 -3 -2/5 20/3; 0 1 4
3]A =
-1/2 4 5 8-3 15 -3/5 -1/510 -3 -2/5 20/30 1 4 3
>> B=[-5/2 $/8 10 30; -1 -3 15 4; $ 9 1/8 30/5; -1$ 5 3
-9]B =
-5/2 $/8 10 30-1 -3 15 4$ 9 1/8 6
-1$ 5 3 -9
>> C=[1 4 3 16; -2 12 15 1$; 18 50 30 -1/4;3 -8 -9 -1]C
=
1 4 3 16-2 12 15 1$18 50 30 -1/43 -8 -9 -1
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*HA77A
1 tra((AB)B+C)>> tra)ABB # Ca!" = 840$6/19
2 det(AB)>> ,)tA#,)tBa!" =-311451/4
3 det((2A+B ))
>> ,)t2A#Ba!" = 218$54
4 (AB)1
>> B^-1A^-1a!" = -153/11858 9$/32964 -41/20096 83/3342
-3$/$610 -28/2542$ -61/52434 581/20680-$5/26114 1/199 11/$$093
46/466$
-10$/18066 49/134602 32/9465 61/10135
5 (2A B)1
>> 2A-B -1
a!" =
331/26844 $9/5033 203/6665 $19/31684-162/58643 31/5818
-5081/61819 261/424$8365/94169 -401/12$39 -493/4309 281/14939
-863/2802$ -2/183 -158/888$ $2/1200$
6 tra(A+B)>> tra)A#B
a!" =
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109/40
$ (2A B C)2
>> 2A-BC^2
a!" =
614665/8 230645 324$23/2 2269$9/321154$/3 444059/2 910259/6
160863/$143489/2 322151 9$403$/4 912844/3309883/2 6134$9 896211/2
433061
**:AF*CA
1 z=esen( 3x2y)
x2y
>> [+>(r',o!>>"&rf+
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>> ?=o(a"o"+^2-"rt+"&rf+> [+
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4 z= ln(x
2y2
2x )
2
>> [x,y]=meshgrid(-7.5:0.5:7.5);>>
z=(sqrt(log(((x.^!y.^)."(#x)).^)));>> s$r%(x,y,z)
*** EE7A 7A *:*EGEECAC*IGE
1 {sen (x )+2y+4=0ex3cos (x )=1>> [+
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2 {x2y2=1
y5x3=4
>> [+
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08$368$$59389469563298893282$248$'
#044446008$2$303580149862185112123
08301690404486692006522202666$208' #
05314091226415$3885$8$$8$56090335
08094456$55409409$9$8193502$2054$'
#040$40226120$4$$8854$86510354050$ 038619280233128351424000944$1233
-0$826$43852826022659529355223$206'
< = 04094$2465684846000112669922$435$'
#02$812111804$48436060028$4695$842
09$4889$3638463248223115590210414'
#01222164552322$$604038240$9630242 -
096322$3015164593889156982$$$163'
-01141508234646926$54$499583818$$4
0$8003026430$11$99266$06159$16144'
-0302$2690348225460008994$0$24$12$
04110388$4898$96434519623$5653595'
#03064364$2240993141$235$12$038319
03064364$2240993141$235$12$038319
-04110388$4898$96434519623$5653595'
0$6$56909062580842$9419441055555$'
-0320$232959469$0909943622863$514$
096322$3015164593889156982$$$163'
-01141508234646926$54$499583818$$4
0305661563446903953$8352124405905
-0$624839323262209584038135$324185'
0425362$9129652314$09131$112250$6' -
029351010581$0959546603$40992203-
0$8003026430$11$99266$06159$16144'
-0302$2690348225460008994$0$24$12$
031$$8996332525560442$58$00315456
-0$80935$$942869528498524839233994'
012902$4435465$0352$4$62328543095
-095569194521809868$0$802$63656294'-
096944305314$35$5$$5$851184639469'
-01334$4061245829553032511109699$9
039$2395213$4$0808965549408996081'
-029466$8258826413241193800855$801-
039$2395213$4$0808965549408996081'
-029466$8258826413241193800855$801
0$80935$$942869528498524839233994'
#031$$8996332525560442$58$00315456-
0$6$56909062580842$9419441055555$'
-0320$232959469$0909943622863$514$
02$812111804$48436060028$4695$842
-04094$2465684846000112669922$435$'
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0$624839323262209584038135$324185'
#0305661563446903953$8352124405905
096944305314$35$5$$5$851184639469' -
01334$4061245829553032511109699$9
01222164552322$$604038240$9630242
-09$4889$3638463248223115590210414' -
0425362$9129652314$09131$112250$6'
-029351010581$0959546603$40992203
095569194521809868$0$802$63656294'
#012902$4435465$0352$4$62328543095
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3
{(x+y )2=1
x2
3y2
=4
>> [+
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