python 生成对称矩阵_对称矩阵| 使用Python的线性代数

待我称王封你为后i 2023-03-05 12:41 22阅读 0赞

python 生成对称矩阵

**Prerequisites:**

**先决条件：**

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

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:
        MT

## 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!!

> 翻译自: [https://www.includehelp.com/python/symmetric-matrices.aspx][https_www.includehelp.com_python_symmetric-matrices.aspx]

python 生成对称矩阵

[Defining a matrix]: https://www.includehelp.com/python/defining-matrix-using-numpy.aspx
[Identity matrix]: https://www.includehelp.com/python/print-the-identity-matrix-using-numpy-eye-function.aspx
[Transpose matrix]: https://www.includehelp.com/python/transpose-matrix.aspx
[https_www.includehelp.com_python_symmetric-matrices.aspx]: https://www.includehelp.com/python/symmetric-matrices.aspx