syedmokthiyar / 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 1-norm , 2-norm , infinity-norm of the matrix using np.linalg.norm()
3. Print the norm of the matrix in two decimal places.

Program:

Developed by: yourname : S.M.Syed Mokthiyar 
RegisterNumber: 22006227

(i) 1-norm
# program to find 1-norm of a matrix.
'''
import numpy as np 

mat = np.array(eval(input()))
ans = np.linalg.norm(mat,1)
Norm_of_matrix = "{:.2f}".format(ans)
print(Norm_of_matrix)



(ii) 2-norm
# program to find 2-norm of a matrix.
import numpy as np
mat = np.array(eval(input()))
ans = np.linalg.norm(mat,2)
Norm_of_matrix = "{:.2f}".format(ans)
print(Norm_of_matrix)


(iii) 3-infinity
# program to find infinity-norm of a matrix.
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.