2楼: Originally posted by i维数 at 2016-04-30 01:43:12
A=(x,z,y)的转置，B=(y,x,z)的转置，C=(z,y,x)的转置，那么(A,B,C)=x^3+y^3+z^3-3xyz。然后两个这种类型的矩阵相乘还是这种类型的矩阵（用矩阵的乘法乘出来后就可以看出来了），证毕

3楼: Originally posted by ysnn at 2016-04-30 10:01:27
感谢应助，但我主要是想找到这样的矩阵，后面的证明我是知道的
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4楼: Originally posted by i维数 at 2016-04-30 10:43:58
上面的(A,B,C)就是这样的矩阵...

5楼: Originally posted by ysnn at 2016-04-30 11:11:35
可能是我表述有问题，我是想找到明确的矩阵，是x,y,z到底怎么排列的
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6楼: Originally posted by fungarwai at 2016-04-30 12:28:05
\begin{pmatrix}
x & y & z\\
z & x & y\\
y & z & x
\end{pmatrix}
\begin{pmatrix}
x & z & y\\
y & x & z\\
z & y & x
\end{pmatrix}
=
\begin{ ...

7楼: Originally posted by fungarwai at 2016-04-30 12:32:10
哦？斜杠写反了？

\begin{pmatrix}
x & y & z\\
z & x & y\\
y & z & x
\end{pmatrix}
\begin{pmatrix}
x & z & y\\
y & x & z\\
z & y & x
\end{pm ...

8楼: Originally posted by fungarwai at 2016-04-30 12:35:11
\begin{pmatrix}x & y & z\\z & x & y\\y & z & x\end{pmatrix}\begin{pmatrix}x & z & y\\y & x & z\\z & y & x\end{pmatrix}=\begin{pmatrix}
x^2+y^2+z^2 &a ...