对对角线矩阵进行一些变换
- A ‾ 1 \overline{A}{_1} A1 = [ ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ] T \left[{\begin{array}{}{(a{_1})^2+(a{_2})^2+(a{_3})^2} & {(b{_1})^2+(b{_2})^2+(b{_3})^2}\end{array}}\right]^T [(a1)2+(a2)2+(a3)2(b1)2+(b2)2+(b3)2]T [ 1 1 ] \left[{\begin{array}{}1 & 1\end{array}}\right] [11]
- = [ ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ] \left[{\begin{array}{}{(a{_1})^2+(a{_2})^2+(a{_3})^2} & {(a{_1})^2+(a{_2})^2+(a{_3})^2} \\ {(b{_1})^2+(b{_2})^2+(b{_3})^2} & {(b{_1})^2+(b{_2})^2+(b{_3})^2} \end{array}}\right] [(a1)2+(a2)2+(a3)2(b1)2+(b2)2+(b3)2(a1)2+(a2)2+(a3)2(b1)2+(b2)2+(b3)2]
- A ‾ 2 \overline{A}{_2} A2 = [ 1 1 ] T \left[{\begin{array}{}1 & 1\end{array}}\right]^T [11]T [ ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ] \left[{\begin{array}{}{(a{_1})^2+(a{_2})^2+(a{_3})^2} & {(b{_1})^2+(b{_2})^2+(b{_3})^2}\end{array}}\right] [(a1)2+(a2)2+(a3)2(b1)2+(b2)2+(b3)2]
- = [ ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ( a 1 ) 2 + ( a 2 ) 2 + ( a 3 ) 2 ( b 1 ) 2 + ( b 2 ) 2 + ( b 3 ) 2 ] \left[{\begin{array}{}{(a{_1})^2+(a{_2})^2+(a{_3})^2} & {(b{_1})^2+(b{_2})^2+(b{_3})^2} \\ {(a{_1})^2+(a{_2})^2+(a{_3})^2} & {(b{_1})^2+(b{_2})^2+(b{_3})^2} \end{array}}\right] [(a1)2+(a2)2+(a3)2(a1)2+(a2)2+(a3)2(b1)2+(b2)2+(b3)2(b1)2+(b2)2+(b3)2]