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Determinant of a Zeros and Ones matrices | Linear Algebra using Python

Linear Algebra using Python | Determinant of a Zeros and Ones matrices: Here, we are going to learn about the determinant of a zeros and ones matrices and its implementation in Python.
Submitted by Anuj Singh, on May 29, 2020

Prerequisites:

• Defining a Zeros Matrix
• Defining a Ones Matrix
• Determinant of a Matrix

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|. There are matrices such as Zero and Ones matrices which have a constant determinant value and that is 0.

Using python library function, we will find the determinant of various zero and ones matrices.

Python code for demonstrating the determinant of a zeros and ones matrices

# Linear Algebra Learning Sequence
# Determinant of a Zeros and Ones matrices

import numpy as np

oneM = np.ones([4,4])
det_oneM = np.linalg.det(oneM)
zeroM = np.zeros([4,4])
det_zeroM = np.linalg.det(zeroM)

print("Ones Matrix: \n", oneM, "\nDeterminant : ", det_oneM)
print("\n\nZeros Matrix: \n", zeroM, "\nDeterminant : ", det_zeroM)

Output:

Ones Matrix: 
 [[1. 1. 1. 1.]
 [1. 1. 1. 1.]
 [1. 1. 1. 1.]
 [1. 1. 1. 1.]] 
Determinant :  0.0


Zeros Matrix: 
 [[0. 0. 0. 0.]
 [0. 0. 0. 0.]
 [0. 0. 0. 0.]
 [0. 0. 0. 0.]] 
Determinant :  0.0