Question

if matrix a = [ 1 - i i ]​

Answer 1

Step-by-step explanation:

A=(

1

−1

−1

1

) then A

2

can be computed as shown below:

A

2

=(

1

−1

−1

1

)(

1

−1

−1

1

)=(

1×1+−1×−1

−1×1+1×−1

1×−1+(−1)×1

−1×−1+1×1

)

implies A

2

=(

2

−2

−2

2

)

Since A

2

=KA, therefore,

(

2

−2

−2

2

)=K(

1

−1

−1

1

)

(

2

−2

−2

2

)=(

K

−K

−K

K

)

Now equating the matrices we get K=2.

Hence, K=2.