a)
syms x y z
z=x+4*y
z =
fsurf(z)
hold on
z=2-9*x-1/2*y
z =
fsurf(z)
hold on
z=-3-x
z =
fsurf(z)
hold on
A=[1 4 -1;18 1 2;-1 0 -1]
A = 3×3
1
18
-1
4
1
0
-1
2
-1
b=[0;4;3]
b = 3×1
0
4
3
rref([A b])
ans = 3×4
1.0000
0
0
0
1.0000
0
0
0
1.0000
0.6935
-1.0968
-3.6935
plot3(0.6935,-1.0968,-3.6935,'r.','MarkerSize',100)
1
b)
t=-1:1;
xx=1+2*t;
yy=2-t;
zz=3*t;
figure
plot3(xx,yy,zz)
q=3/2+2*t;
w=-t;
e=2+2*t;
hold on
plot3(q,w,e)
r=2+t;
t=1-3*t;
y=2-t;
hold on
plot3(r,t,y)
hold on
grid on
2
Suorat eivät leikkaa toisiaan samassa pisteessä
3