zad kol2 20 01 2012

a = [1, 2] B = aT a B B
"F
F (x) = xT Bx
"x
u = a × b v = c × d
a = [x, x2 + y2, 0]
b = [xy, x - y, 0]
"
c = [ z, z2, x2y]
1
d = [x, x + z, x + y + z2]
u v u v
Ä (a) = Ä…a + ² Ä…, ² " R a " R2
Ä…, ² Ä
A x = b A
A-1
îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚
6 2 3 4
ïÅ‚ śł ïÅ‚ śł
A = 1 -4 -1 ûÅ‚ b = -5
ðÅ‚ ðÅ‚ ûÅ‚
0 1 8 -14
A
x0 = [1, 0, 0]
îÅ‚ Å‚Å‚
1 2 3
ïÅ‚ śł
A = 2 -2 4 ûÅ‚
ðÅ‚
3 4 2
(A) = {-1, 2, 7, 10}
-5, 1, 5
AB AT B ABT BA A2 B2 A-1 B-1 A-T B-T
îÅ‚ Å‚Å‚
4 2 -5
0 2 3
ïÅ‚ śł
A = 1 0 4 ûÅ‚ B =
ðÅ‚
1 -1 -3
3 2 -1
f(x, y, z) = x2 + xyz + z sin x
g = "f
h = g
k = g

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