Question

If a=[3 2 0 1] , then (A^-1)^3 is equal to

Answer 1

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

]