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python3-cookbook/cookbook/c03/p10_matrix_linear.py

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2014-09-13 12:06:18 +08:00
#!/usr/bin/env python
# -*- encoding: utf-8 -*-
"""
Topic: 矩阵和线性代数
Desc :
"""
import numpy as np
import numpy.linalg
def matrix_linear():
m = np.matrix([[1,-2,3],[0,4,5],[7,8,-9]])
print(m)
# Return transpose 转置矩阵
print(m.T)
# Return inverse # 逆矩阵
print(m.I)
# Create a vector and multiply
v = np.matrix([[2],[3],[4]])
print(v)
print(m * v)
# Determinant 行列式
print(numpy.linalg.det(m))
# Eigenvalues 特征值
print(numpy.linalg.eigvals(m))
# Solve for x in m*x = v
x = numpy.linalg.solve(m, v)
print(x)
print(m * x)
print(v)
if __name__ == '__main__':
matrix_linear()