import numpy as np    # This imports a package called "numpy" that will make working with matrices 
                      # simpler

# create a two-dimensional matrix with only one column.  
x = np.matrix( '1.;2.;3.' )
print( 'x = ' )
print( x )

import laff
import math

length_x = math.sqrt( laff.dot( x, x ) )

print( 'length_x:' )
print( length_x )

def length( x ):
    #Your code here
    

length_x = length( x )

print( 'length_x:' )
print( length_x )

print( 'difference between length_x and math.sqrt( laff.dot( x, x ) ):' )
print( length_x - math.sqrt( laff.dot( x, x ) ) )

import laff

length_x = laff.norm2( x )

print( 'length_x:' )
print( length_x )

print( 'difference between length_x and math.sqrt( laff.dot( x, x ) ):' )
print( length_x - math.sqrt( laff.dot( x, x ) ) )

def length( x ):
    ### You fill in the rest!