Question

5. A = [i 0 i 0 ]n € N then find the value of A^4n​

Answer 1

Answer:

A=[

i

0

0

i

]

A

2

=[

i

0

0

i

][

i

0

0

i

]=[

−1

0

0

−1

]

A

4

=A

2

×A

2

=[

−1

0

0

−1

][

−1

0

0

−1

]=[

1

0

0

1

]

A

4

=I

A

4n

=I

n

=I=[

1

0

0

1

]