推 xx52002 :感謝~ 03/03 01:37
※ 引述《xx52002 (冰清影)》之銘言：
: http://xx52002.myweb.hinet.net/aaa.png
: 麻煩各位了O_Q
Let e be in Ｍ (|R) where (e ) = δ δ for all 1≦i,j≦3.
ij 3 ij kl ik jl
Then
T(e ) = e for all i = 1, 2, 3;
ii ii
T(e + e ) = e + e for (i,j) = (1,2) or (1,3) or (2,3);
ij ij ji ij
T(e - e ) = e - e = -(e - e ) for (i,j) = (1,2) or (1,3) or (2,3)
ij ij ji ij ij ji
Since these nine vector forms a basis for Ｍ (|R),
3
T is diagonalizable, and the eigenvalue of T are ±1.
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