GRUPO A _ACOSTA GUERRERO_AREVALO DELMEREJERCICIOS

>> A= [3 5 3 4; -8 6 3 2; 4 7 5 6; -6 7 6 1]

A =

3 5 3 4 -8 6 3 2 4 7 5 6 -6 7 6 1

>> B= [7 1 -6 5; 2 6 2 8; -5 3 2 3; 6 8 -4 -3]

B =

7 1 -6 5 2 6 2 8 -5 3 2 3 6 8 -4 -3

SOLUCIN:a) A + B

>> c=A+B

c =

10 6 -3 9 -6 12 5 10 -1 10 7 9 0 15 2 -2

b) (A+3B)

>> d=(A+3*B)'

d =

24 -2 -11 12 8 24 16 31 -15 9 11 -6 19 26 15 -8

c) 5AB

>> e=5*A*B

e =

200 370 -90 260 -235 265 290 55 265 545 -120 365 -260 310 290 205 d) 3A + 2B

>> f=3*A+2*B'

f =

23 19 -1 24 -22 30 15 22 0 25 19 10 -8 37 24 -3

e) BA >> g=B*A'

g =

28 -58 35 -66 74 42 108 50 18 70 29 66 34 -18 42 -7

f) A B

>> h=A.^B

h =

1.0e+006 *

0.0022 0.0000 0.0000 0.0010 0.0001 0.0467 0.0000 0.0003 0.0000 0.0003 0.0000 0.0002 0.0467 5.7648 0.0000 0.0000

>> A= [3 -2 0 5; 3 8 -5 6; 8 0 11 5]

A =

3 -2 0 5 3 8 -5 6 8 0 11 5

>> B= [6 4 -1; -3 0 9; 0 4 3; 6 6 3]

B =

6 4 -1 -3 0 9 0 4 3 6 6 3

>> C= [9 0 3; -2 2 7; 5 4 7]

C =

9 0 3 -2 2 7 4 7

SOLUCIN:a) 5(AB)-2C

>> a= 5*(A*B)-2*C

a =

252 210 -36 154 136 346 380 522 186

b) (CAB)

>> b=(C*A*B)'

b =

720 498 936 696 714 1064 66 436 538

Solucin B:>> B= [6 2 3; 5 -2 0; 9 8 7]

B =

6 2 3 5 -2 0 9 8 7>> b1= det (B)

b1 =

20.0000

>> format rat>> inv(B)

ans =

-7/10 1/2 3/10 -7/4 3/4 3/4 29/10 -3/2 -11/10

Solucin C:>> C= [8 4 7 -1; 1 1 -3 2; 3 6 4 8; 5 9 4 6]

C =

8 4 7 -1 1 1 -3 2 3 6 4 8 5 9 4 6>> b2= det(C)

b2 =

-895

>> format rat>> inv(C)

ans =

28/179 232/895 51/895 -122/895 -18/179 -98/895 -199/895 283/895 4/179 -197/895 84/895 -43/895 1/179 17/179 40/179 -29/179

Solucin D:>> D= [10 -1 4; 7 5 2; -1 3 6]

D =

10 -1 4 7 5 2 -1 3 6

>> b3= det(D)

b3 =

388.0000

>> format rat>> inv(D)

ans =

6/97 9/194 -11/194 -11/97 16/97 2/97 13/194 -29/388 57/388

Solucin E:>> E= [-7 1 4 9; 2 9 -1 7; 2 5 8 1; -3 4 0 5]

E =

-7 1 4 9 2 9 -1 7 2 5 8 1 -3 4 0 5

>> b4= det(E)

b4 =

1711

>> format rat>> inv(E)

ans =

157/1711 332/1711 -37/1711 -740/1711 -9/59 -4/59 4/59 21/59 86/1711 -47/1711 165/1711 -122/1711 303/1711 292/1711 -115/1711 -589/1711

Solucin:a) 4x + 5y + z = 12 3x + 7y + 9z = 33 x y + z = 9

>> A= [4 5 1; 3 7 9; 1 -1 1]

A =

4 5 1 3 7 9 1 -1 1

>> B= [12 33 9]'

B =

12 33 9

>> solucion=inv(A)*B

solucion =

4.0000 -1.5000 3.5000

b) x + y + z + w = 3 2x - 3y + 5z + 4w = 10 3x + 8y + 2z - 6w = 40 4x + y + 5z + 3w = 22

>> A= [1 1 1 1; 2 -3 5 4; 3 8 2 -6; 4 1 5 3]

A =

1 1 1 1 2 -3 5 4 3 8 2 -6 4 1 5 3

>> B= [3 10 40 22]'

B =

3 10 40 22

>> solucion=inv(A)*B

solucion =

6.0400 -1.1000 2.3800 -4.3200

a) en el mismo cuadro y usando el color fucsia para una grfica y el color azul para la otra.clccleart=0:pi/100:2*pi;r1=6*cos(t);r2=2*(1+cos(t));polar(t,r1,'m')hold onpolar(t,r2,'b') b) clccleart=0:pi/100:2*pi;r=3*cos(5*t);polar(t,r,'b')

Solucina)clcclearx=-3*pi:pi/100:3*pi;y=tan(x);plot(x,y)axis

b) clcclearx=-6:0.01:6;y=6./(x.^2-9);plot(x,y)axis

Solucina) clccleart=0:pi/100:2*pi;x=sin(2*t);y=cos(t);plot(x,y,'m','linewidth',2)axis equalgrid on

b)clccleart=0:pi/100:12*pi;x=5*cos(t);y=5*sin(t);z=2*t;plot3(x,y,z,'linewidth',2)xlabel('Eje x')ylabel('Eje y')zlabel('Eje z')title('\bf\fontsize{13} Funcin')

SOLUCIONa)clcclearx=-2.5:0.01:3;y1=3*x.^3-x.^2-10*x;y2=-x.^2+2*x;plot(x,y1,'r',x,y2,'b')title('Grfica de 2 Funciones')

b)clcclearx=-1:0.01:3;y1=x-1;y2=(x-1).^3;plot(x,y1,'r',x,y2,'b')title('Grfica de 2 Funciones')

Solucinclcclearx1= -4:0.01:-2;y1=x1+3;plot(x1,y1,'m','linewidth',2)hold onx2=-2:0.01:2;y2=1;plot(x2,y2,'k','linewidth',2)hold onx3=2:0.01:4;y3=x3-1;plot(x3,y3,'g','linewidth',2)

Solucina)clcclear x=-5:0.01:4;y=x.^4+3*x.^3-8*x.^2-10;z=zeros(size(x));plot(x,y,'r','LineWidth',3)grid ontext(0,0,11.5,'\bf\fontsize{15}funcin 1')hold onplot(x,z,'b')

b)clcclearx=0:pi/100:2*pi;y=2*sin(x)-cos(2*x);z=zeros(size(x));plot(x,y,'g','LineWidth',3)grid ontext(0,0,11.5,'\bf\fontsize{15}Funcin 3')hold onplot(x,z,'r')