santhanalakshmi04 / norm-of-a-matrix

Norm of a matrix

Aim

To write a program to find the 1-norm, 2-norm and infinity norm of the matrix and display the result in two decimal places.

Equipment’s required:

1. Hardware – PCs
2. Anaconda – Python 3.7 Installation / Moodle-Code Runner

Algorithm:

1. Get the input matrix using np.array()
2. Find the 2-norm of the matrix using np.linalg.norm()
3. Print the norm of the matrix in two decimal places.

Program:

1-Norm of a Matrix

# Register No:212222240091
# Developed By: K.SANTHANA LAKSHMI

import numpy as np
array=np.array(eval(input()))
n=np.linalg.norm(array,1)
print("{:.2f}".format(n))

2-Norm of a Matrix

Program to find 2-norm of a matrix.
Developed by: K.SANTHANA LAKSHMI
RegisterNumber: 22003398

import numpy as np
array=np.array(eval(input()))
n=np.linalg.norm(array,2)
print("{:.2f}".format(n))

Infinity Norm of a Matrix

Program to find 1-norm of a matrix.
Developed by:K.SANTHANA LAKSHMI
RegisterNumber: 22003398

import numpy as np
mat=np.array(eval(input()))
ans=np.linalg.norm(mat,np.inf)
norm_of_matrix="{:.2f}".format(ans)
print(norm_of_matrix)

Output:

1-Norm of a Matrix

2-Norm of a Matrix

Infinity Norm of a Matrix

Result

Thus the program for 1-norm, 2-norm and Infinity norm of a matrix are written and verified.