Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Raise a square matrix to the power n in Linear Algebra in Python
To raise a square matrix to the power n in Linear Algebra, use the numpy.linalg.matrix_power() in Python For positive integers n, the power is computed by repeated matrix squarings and matrix multiplications. If n == 0, the identity matrix of the same shape as M is returned. If n < 0, the inverse is computed and then raised to the abs(n).
The return value is the same shape and type as M; if the exponent is positive or zero then the type of the elements is the same as those of M. If the exponent is negative the elements are floating-point. The 1st parameter, a is a matrix to be “powered”. The 2nd parameter, n is the exponent that can be any integer or long integer, positive, negative, or zero.
Steps
At first, import the required libraries −
import numpy as np from numpy.linalg import matrix_power
Create a 2D array, matrix equivalent of the imaginary unit −
arr = np.array([[0, 1], [-1, 0]])
Display the array −
print("Our Array...\n",arr)Check the Dimensions −
print("\nDimensions of our Array...\n",arr.ndim)
Get the Datatype −
print("\nDatatype of our Array object...\n",arr.dtype)Get the Shape −
print("\nShape of our Array object...\n",arr.shape)
To raise a square matrix to the power n in Linear Algebra, use the numpy.linalg.matrix_power() in Python. For positive integers n, the power is computed by repeated matrix squarings and matrix multiplications. If n == 0, the identity matrix of the same shape as M is returned. If n < 0, the inverse is computed and then raised to the abs(n) −
print("\nResult...\n",matrix_power(arr, 0))Example
import numpy as np
from numpy.linalg import matrix_power
# Create a 2D array, matrix equivalent of the imaginary unit
arr = np.array([[0, 1], [-1, 0]])
# Display the array
print("Our Array...\n",arr)
# Check the Dimensions
print("\nDimensions of our Array...\n",arr.ndim)
# Get the Datatype
print("\nDatatype of our Array object...\n",arr.dtype)
# Get the Shape
print("\nShape of our Array object...\n",arr.shape)
# To raise a square matrix to the power n in Linear Algebra, use the numpy.linalg.matrix_power() in Python
print("\nResult...\n",matrix_power(arr, 0))Output
Our Array... [[ 0 1] [-1 0]] Dimensions of our Array... 2 Datatype of our Array object... int64 Shape of our Array object... (2, 2) Result... [[1 0] [0 1]]
995 Views
