if matrix a = [ 1 - i i ]
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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.
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