python 生成對稱矩陣

Prerequisites:

先決條件：

• Defining a matrix

  定義矩陣

• Identity matrix

  身份矩陣

• Transpose matrix

  轉置矩陣

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

在線性代數中，如果矩陣及其轉置相等，則矩陣是對稱的(MT = M) 。

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

根據矩陣的元素： 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檢查對稱矩陣的python代碼。

Method:

方法：

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

對稱矩陣的Python代碼 (Python code for symmetric matrices)

# Linear Algebra Learning Sequence # Transpose using different Methodimport numpy as npM = 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:

輸出：

---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!!

翻譯自: https://www.includehelp.com/python/symmetric-matrices.aspx

python 生成對稱矩陣

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