文章目录
怎样求方阵的迹?方阵的迹是什么?方阵的迹就是主对角元素之和,方阵的迹说实话我还不知道它的实际用途,有知道的人麻烦你写在下面的评论里,好了,下面来用numpy计算一下方阵的迹。
- 先引入numpy
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/d048adde9c82d158417f9740820a19d8bd3e4207.jpg)
- 创建一个方阵(方阵也就是行数等于列数的矩阵)
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/f29faa8f8c5494ee89a3c1e82ff5e0fe98257e7b.jpg)
- 用trace计算方阵的迹
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/8cf0d513495409235be8ad8f9058d109b2de497b.jpg)
- 再创建一个方阵F
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/b25d9901a18b87d6ddaa65ee050828381e30fd1d.jpg)
- 验证一下方阵的迹等于方阵的转置的迹
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/9f6e190828381f3016f14358ab014c086f06f01d.jpg)
- 验证一下方阵的乘积的迹等于
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/a84052086e061d950fadf9c979f40ad163d9ca1d.jpg)
- 验证一下方阵的和的迹等于方阵的迹的和
![python 线性代数:[4]方阵的迹](/2016/08/01/python%20%E7%BA%BF%E6%80%A7%E4%BB%A3%E6%95%B0%EF%BC%9A%5B4%5D%E6%96%B9%E9%98%B5%E7%9A%84%E8%BF%B9/566d0fdfa9ec8a136cf19911f503918fa1ecc01d.jpg)
该文章用到的所有代码:
E=np.array([[1,2,3],[4,5,6],[7,8,9]])
E
array([[1, 2, 3],
[4, 5, 6],
[7, 8, 9]])
np.trace(E)
15
F=E-2
F
array([[-1, 0, 1],
[ 2, 3, 4],
[ 5, 6, 7]])
np.trace(E)
15
np.trace(E.T)
15
np.trace(np.dot(E,F))
171
np.trace(np.dot(F,E))
171
np.trace(E+F)
24
np.trace(E)+np.trace(F)
24
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