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CY/S-"SX
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Z-+y"S
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Z
h
-i
( ) ( ) ( )
1 1 1 2 1
11 11 12 12 1 1
det 1 det 1 det 1 det

n
n n
a A a AA a A
+ + +
= − + − + + −
( )
1
1 1
1
1 det
n
j
j j
j
a A
+
=
= −
∑
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hV
11 12
21 22
a a
A
a a
 
=
 ÷
 

+ +
= − + − = −
1 1 1 2
11 22 12 11 22 2121 12
det A ( 1) a det (a ) ( 1) a det ( a a a aa )
 
 ÷
= = − +
 ÷
 ÷
 
1 2 3
2 3 1 3
1 2
1 2 3 1 2 3
2 3 1 3 1 2
1 2 3
a a a
b b b b
b b
B b b b , B a a a
c c c c c c
c c c
( ) ( ) ( )
1 2 3 3 2 2 1 3 3 1 3 1 2 2 1
a b c b c a b c b c a b c b c= − − − + −
+ + − −= −
1 2 3 2 3 1 3 1 2 1 3 2 2 1 3 3 2 1
a b c a b c a b c a b c a b c a b c
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D?5ˆ&8q;oG'
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ˆhŠ
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ˆhˆ
&8O
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×
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 ÷
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1 2 3
3 3 1 2 3
1 2 3
a a a
A b b b
c c c
×
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 ÷
=
 ÷
 ÷
 
1 2 3 1 2
/
3 5

1 2 3 1 2
1 2 3 1 2
a a a a a
A b b b b b
c c c c c
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'Y/UVD
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D O 56 7 8 < & U '
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1 2 3
detA 3 4 0
1 2 5
=
− −
( ) ( ) ( ) ( )
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 
 ÷
=
 ÷
 ÷
− − − −
 
/
1 2 3 1 2
A 3 4 0 3 4
1 2 5 1 2

‚ƒ""#$CB„
Nl
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CD+E
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h
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( )
0
0 0
1
det ( 1) det 1
n
i j
i j i j
j
A a A
+
=
= −
∑
( )
0
0 0

1
det ( 1) det 2
n
i j
i j i j
i
A a A
+
=
= −
∑
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Q
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-
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Q
[
‚ƒ""#$CB„
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1 0 3 2
0 2 2 0
3 2 0 1
0 3 0 0
A
−

 
 ÷
−
 ÷
=
 ÷
 ÷
 
‚ƒ""#$CB„
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X//Z R/ j O 56 7  % +, X%
%ZY/•%'(L-TgY/
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(i) (j)
A B→
:
(i):= (i) + k (j)
A B→
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X///Z/O&8DO567
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X/Z      * / +, &? L} • 0v Y/
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XZ+y"S+yX"
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Z-∀"∈
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X/Z†"@†S†"†3†@†
X//Z= T+y@S+y"X/r4Z
0l
X/Z= T+y@S−+y"
CD+EMDO'
1 2 3
A 4 9 6
3 2 0
 
 ÷
=
 ÷
 ÷
 
2 0 3 1
1 2 2 3
B
3 2 5 4
5 2 8 5
−
 
 ÷
− −
 ÷
=
 ÷
− −
 ÷
− −
 

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CD+EM/
1 3 7
A 2 1 2
7 1 4
 
 ÷
=
 ÷
 ÷
−
 
2 5 1
B 22 53 12
9 22 5
−
 
 ÷
= − −
 ÷
 ÷
−
 

1 0 0
AB BA 0 1 0
0 0 1
 
 ÷
= =
 ÷
 ÷
 
1 1 1
A 1 2 1
2 3 1
−
 
 ÷
= −
 ÷
 ÷
−
 
1 4 3
B 1 3 2
1 1 1
− −
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 ÷
−

 
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11 12 1n
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-1 T
n1 n2 nn
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b b b
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 
K

K
K K K K
K
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1 2 3
A 2 5 3
1 0 8
 
 ÷
=
 ÷
 ÷
 
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
"
N lM R/ &/= p/- = *  +, &8 Q 9 %
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LL
CD+EMT'
2 1 2
a) A 1 2 1
1 2 3
 
 ÷
= − −
 ÷
 ÷
 
1 3 4
b) A 1 5 1
3 13 6
−
 
 ÷
= −
 ÷
 ÷
−
 