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Question : 1
Total: 26
If A = (
) , find α satisfying 0 < α <
when A + A T = √ 2 I 2 ; where A T is transpose of A.
Solution:
Consider the given matrix
A =(
) 0 < α <
A +A T = √ 2 I 2
(
) + (
) = √ 2 [
]
[
] = [
]
2 cos α =√ 2
cos α =
=
α =
A =
A +
2 cos α =
cos α =
α =
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