[線代] 線代正交矩陣的證明題

[Tibet1986 ( )]

A是3乘3的orthogonal matrix with entries in R，
detA = 1.
請問要如何證明「存在一個3乘3的orthogonal matrix U 使得
U轉置*AU＝
[1 0  0]
[0 -1 0]
[0 0 -1] 或著是

U轉置*AU＝
[1      0       0]
[0 cos(x) -sin(x)]
[0 sin(x)  cos(x)]

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