python 生成对称矩阵_对称矩阵| 使用Python的线性代数

python 生成对称矩阵

Prerequisites:

先决条件：

Defining a matrix
定义矩阵
Identity matrix
身份矩阵
Transpose matrix
转置矩阵

In linear algebra, if the matrix and its transpose are equal, then the matrix is symmetric (MT = M).

在线性代数中，如果矩阵及其转置相等，则矩阵是对称的(MT = M) 。

In terms of elements of matrices: M(i, j) = M(j, i)

根据矩阵的元素： M(i，j)= M(j，i)

Following is a python code for demonstrating how to check for Symmetric Matrix.

以下是用于演示如何检查对称矩阵的python代码。

Method:

方法：

Syntax:
M = numpy.array( )
transpose_M = M.T
if transpose_M == M:
Transpose = True 
Return:
M^T

对称矩阵的Python代码 (Python code for symmetric matrices)

# Linear Algebra Learning Sequence
# Transpose using different Method
import numpy as np
M = np.array([[2,3,4], [3,45,8], [4,8,78]])
print("---Matrix M---\n", M)
# Transposing the Matrix M
print('\n\nTranspose as M.T----\n', M.T)
if M.T.all() == M.all():
print("--------> Transpose is eqaul to M")
M = np.array([[2,3,4], [3,45,8]])
print("\n\n---Matrix B---\n", M)
# Transposing the Matrix M
print('\n\nTranspose as B.T----\n', M.T)
if M.T.all() == M.all() and np.shape(M) == np.shape(M.T):
print("---------> Transpose is eqaul to B")
else:
print("---------> Not Transpose!!")

Output:

输出：

---Matrix M---
[[ 2  3  4]
[ 3 45  8]
[ 4  8 78]]
Transpose as M.T----
[[ 2  3  4]
[ 3 45  8]
[ 4  8 78]]
--------> Transpose is eqaul to M
---Matrix B---
[[ 2  3  4]
[ 3 45  8]]
Transpose as B.T----
[[ 2  3]
[ 3 45]
[ 4  8]]
---------> Not Transpose!!