If a=[3 2 0 1] , then (A^-1)^3 is equal to
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Step-by-step explanation:
Correct option is
A
[
1
(
2
1
)×100
0
1
]
Given A=
⎣
⎢
⎡
1
2
1
0
1
⎦
⎥
⎤
A
2
=
⎣
⎢
⎡
1
2
1
0
1
⎦
⎥
⎤
×
⎣
⎢
⎡
1
2
1
0
1
⎦
⎥
⎤
=
⎣
⎢
⎡
1
2
2
0
1
⎦
⎥
⎤
A
3
=
⎣
⎢
⎡
1
2
2
0
1
⎦
⎥
⎤
×
⎣
⎢
⎡
1
2
1
0
1
⎦
⎥
⎤
=
⎣
⎢
⎡
1
2
3
0
1
⎦
⎥
⎤
A
4
=
⎣
⎢
⎡
1
2
3
0
1
⎦
⎥
⎤
×
⎣
⎢
⎡
1
2
1
0
1
⎦
⎥
⎤
=
⎣
⎢
⎡
1
2
4
0
1
⎦
⎥
⎤
A
n
=[
1
2
n
0
1
]
So
A
100
=
⎣
⎢
⎡
1
2
100
0
1
⎦
⎥
⎤
=[
1
50
0
1
]
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