îÅ‚ Å‚Å‚
1 4
1 3 0
ðÅ‚
A = , B = 2 0ûÅ‚
4 1 -1
-1 1
AB, BA, BBT , (AB)2 3X + AT = 2B
1 2 0 1
0 0 -1 2
-1 1 0 0
0 3 2 0
1 2 3 4 1 1 -1 1 1 1 1 2 3 0 0 0
2 1 -2 -1 2 -1 1 1 x y z 4 5 0 0 0
3 0 1 2 1 2 3 -1 x2 y2 z2 1 7 1 1 1
0 1 0 2 3 -1 2 1 -1 3 2 3 4
9 8 4 9 16
îÅ‚ Å‚Å‚n îÅ‚ Å‚Å‚n
îÅ‚ Å‚Å‚3
a 1 0 2 1 0
0 1 0
ðÅ‚0 a 1ûÅ‚ ðÅ‚0 2 0 ûÅ‚
ðÅ‚0 0 1ûÅ‚
0 0 a 0 0 -3
0 0 0
îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚
-1 3 2 1 -1 1 2 3 1 0 0 0
ðÅ‚3 1 -2ûÅ‚ ðÅ‚0 1 2ûÅ‚ ïÅ‚0 0 0 1śł
2 -5
ïÅ‚ śł
ðÅ‚0 1 1 0ûÅ‚
1 0 1 2 1 1
1 0 1 1
A B n det 4 (BA)-1 BT AT
îÅ‚ Å‚Å‚ îÅ‚ Å‚Å‚
0 1 2 2 0 1 1 1 1 1 -1 0 2 3
ïÅ‚2 2 3 -1śł ïÅ‚-1 2 1 0 2śł
-1 2 0 -1 0
ïÅ‚ śł ïÅ‚ śł
ðÅ‚0 0 1 -3ûÅ‚ ðÅ‚
0 1 1 2 5ûÅ‚
3 3 5 -2 1 0 1 4 8
a b
X = : a2 + b2 > 0, a, b " R
-b a