M351 Study Guide 4 (S. Zhang)
1. (8.8:8)
This is enough. The other eigenvector is a conjugate of this
one:
Find eigenvalues and eigenvectors.
2
2
x2 = x1 = C(
1
1
Anyway, if we compute, = 3i, solving (A I)x = 0,
ans:
A I =
det(A I) =
2
2
2
0
+i
1
3
1
,
1
M351 Study Guide 3 (S. Zhang)
(We need to give an example showing either C1 or C2 fails.)
1. (7.2:52)
Find b, b = 1 , parallel to a = 6, 3, 2
2
but in the opposite direction.
f (x) = 1 S
ans:
Let c = 1. Then
1 a
b=
2 a
1
a
=
2 36 + 9 + 4
1
6, 3, 2
=
14
/ Solucin por mtodo de biseccin
clc
clear all
error=.001; /Definicion del error
i=0; /Para control del ciclo
x1=1; /LIMITES
fx1=x1^3+4*x1^2-10; /FUNCION
xd=2;
fxd=xd^3+4*xd^2-10; /FUNCION
if fx1<0 then /Asignacion de valores
neg=x1;
fneg=fx1;
else
pos=x1;
/ Solucin por mtodo Posicion falsa
clc
clear all
error=.001; /Definicion del error
i=0; /Para control del ciclo
x1=1; /LIMITES
fx1=x1^3+2*x1^2+10*x1-20; /FUNCION
xd=2;
fxd=xd^3+2*xd^2+10*xd-20; /FUNCION
if fx1<0 then /Asignacion de valores
neg=x1;
fneg=fx