coso
If A=
sino
sin 0 cos 0
and A(adj A) = kI then k is
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A=
⎣
⎢
⎢
⎡
cosθ
sinθ
0
−sinθ
cosθ
0
0
0
1
⎦
⎥
⎥
⎤
lets write co factor
C
11
+cosθ C
12
=−sinθ C
13
=0
C
21
+sinθ C
22
=cosθ C
23
=0
C
31
=0 C
32
=0 C
33
=1
∴ co factor matrix
=
⎣
⎢
⎢
⎡
cosθ
sinθ
0
−sinθ
cosθ
0
0
0
1
⎦
⎥
⎥
⎤
∴AdjA= transpose of cofactor matrix
=
⎣
⎢
⎢
⎡
cosθ
sinθ
0
−sinθ
cosθ
0
0
0
1
⎦
⎥
⎥
⎤
=A
T
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