îÅ‚ Å‚Å‚
îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚
x1
1 0 1 2 0 2
ïÅ‚x2śł
ïÅ‚ śł ïÅ‚ śł ïÅ‚ śł
2 1 -1 0 1 1
ïÅ‚ śł ïÅ‚ śł ïÅ‚x3śł
A = , x = .
ðÅ‚-1 2 0 1 -2ûÅ‚ , b = ðÅ‚-1ûÅ‚ ïÅ‚ śł
ðÅ‚x4ûÅ‚
0 5 -1 2 -3 -1
x5
Ax = b
(A)
Å„Å‚
òÅ‚ x + kz = 2
2x + ky + (2k + 1)z = 4
ół
x + ky + (2k + 2)z = k + 2
k " R
k
x " R
2x 1 x + 1 0 1
1 0 0 1 -1
x - 1 x + 1 2x 0 x + 1
0 0 0 7 0
1 x + 1 x + 1 -1 x
3(XA)-1BT = I,
A, B, X 2 × 2 I
det(X) det(A) = 2 det(B)
X X
[ ] [ ]
3 1 1 2
A = , B = .
2 1 -1 1
" (2n +1)3n2
2 +1
3
lim ( 8n3 + 3n2 - 2n) lim
2n2+3
n" n"
îÅ‚ Å‚Å‚
îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚
x1
-1 2 0 1 -1 0
ïÅ‚x2śł
ïÅ‚
0 1 2 1 -1śł ïÅ‚1śł ïÅ‚ śł
ïÅ‚ śł ïÅ‚ śł ïÅ‚x3śł
A = , b = , x = .
ðÅ‚ ûÅ‚ ðÅ‚2ûÅ‚ ïÅ‚ śł
2 1 -1 0 1
ðÅ‚x4ûÅ‚
3 -1 -1 -1 2 2
x5
Ax = b
(A)
Å„Å‚
òÅ‚ x + ky = 2
-x + (1 - k)y + kz = -2
ół
-2x + (-k + 2)y + kz = k - 4
k " R
k
x " R
x + 1 1 0 2x 1
2x x + 1 0 x - 1 x + 1
1 0 7 -1 0
0 -1 0 1 0
x + 1 x 0 1 x + 1
1
(XT A)T B-1 = I,
3
A, B, X 2 × 2 I
det(X) det(A) = 2 det(B)
X X
[ ] [ ]
3 2 1 -1
A = , B = .
1 1 2 1
"
(3n +1)2n2
2 -3
4n2+1-2n
"
lim lim
3n2-1
n2+2-n
n" n"