# -*- coding: utf-8 -*-
"""
Created on Thu Sep 15 14:05:21 2022

@author: Chris
Lab 8 Q1
"""

import numpy as np
from scipy import linalg as la

a = np.array([[1,0,2,3]])

b = np.array([[1],[3],[-1],[2]])


print('a',a.shape,':')
print(a)

print('b',b.shape,':')
print(b)

print('a.b =',a @ b)

print('a.b =',a.dot(b))

print('a^T=')
print(a.T)

print('|b|^2=',b.T.dot(b))

print('L2 norm of a:',la.norm(a,2))