身份矩阵的决定因素| 使用Python的线性代数

Prerequisites:

先决条件：

• Defining an Identity Matrix

  定义身份矩阵

• Determinant of a Matrix

  矩阵的行列式

In linear algebra, the determinant is a scalar value that can be computed for a square matrix and represents certain properties of the matrix. The determinant of a matrix A is denoted det(A) or det A or |A|. The identity matrices have determinant one and this is one of the properties of the identity matrix. Using python library function, we will try to find the determinant of identity matrices.

在线性代数中，行列式是可以为方矩阵计算的标量值，代表矩阵的某些属性。 矩阵A的行列式表示为det(A)或det A或| A |。 。 单位矩阵具有行列式1，这是单位矩阵的特性之一。 使用python库函数，我们将尝试查找身份矩阵的行列式。

用于演示身份矩阵行列式的Python代码 (Python code for demonstrating the determinant of identity matrix)

# Linear Algebra Learning Sequence
# Determinant of Identity Matrix
 
import numpy as np
 
print(np.eye(4))
det_M = np.linalg.det(np.eye(4))
print("Determinant : ", det_M)
 
print("\n\n", np.eye(7))
det_M = np.linalg.det(np.eye(7))
print("Determinant : ", det_M)

Output:

输出：

[[1. 0. 0. 0.]
 [0. 1. 0. 0.]
 [0. 0. 1. 0.]
 [0. 0. 0. 1.]]
Determinant :  1.0
 
 
 [[1. 0. 0. 0. 0. 0. 0.]
 [0. 1. 0. 0. 0. 0. 0.]
 [0. 0. 1. 0. 0. 0. 0.]
 [0. 0. 0. 1. 0. 0. 0.]
 [0. 0. 0. 0. 1. 0. 0.]
 [0. 0. 0. 0. 0. 1. 0.]
 [0. 0. 0. 0. 0. 0. 1.]]
Determinant :  1.0

翻译自: https://www.includehelp.com/python/determinant-of-identity-matrix.aspx