Implement dot in our class of sparse matrices represented with a dictionary of dictionaries. def SparseMatrix7(m=None,**kwargs):     import itertools     import numpy as np     def add_to_dict(d, key1, key2, val):         <... YOUR CODE HERE ...>     class SparseMatrix7_class:         def __init__(self, m=m. **kwargs):             <... YOUR CODE HERE ...>         def to_dense(self):             <... YOUR CODE HERE ...>         def __getitem__(self, pos):             <... YOUR CODE HERE ...>         def __setitem__(self, pos, val):             <... YOUR CODE HERE ...>         def __add__ (self, q):             <... YOUR CODE HERE ...>         def dot(self, q):             r = self.__class__(m=None)             <... YOUR CODE HERE ...>             return r         def sparseness_metric(self):             <... YOUR CODE HERE ...>         def T(self):             <... YOUR CODE HERE ...>                  return SparseMatrix7_class(**kwargs)              check your code manually: import numpy as np m1 = np.random.randint(10, size=(3,2)) print (m1) m2 = np.random.randint(10, size=(2,3)) print (m2) print ("-- ") print (m1.dot(m2)) s1 = SparseMatrix7(m1) s2 = SparseMatrix7(m2) print (s1.dot(s2).to_dense().astype(int)) print ("--") print (m2.dot(m1)) print (s2.dot(s1).to_dense().astype(int))

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Implement dot in our class of sparse matrices represented with a dictionary of dictionaries.

def SparseMatrix7(m=None,**kwargs):

    import itertools
    import numpy as np
    def add_to_dict(d, key1, key2, val):
        <... YOUR CODE HERE ...>

    class SparseMatrix7_class:

        def __init__(self, m=m. **kwargs):
            <... YOUR CODE HERE ...>

        def to_dense(self):
            <... YOUR CODE HERE ...>

        def __getitem__(self, pos):
            <... YOUR CODE HERE ...>

        def __setitem__(self, pos, val):
            <... YOUR CODE HERE ...>

        def __add__ (self, q):
            <... YOUR CODE HERE ...>

        def dot(self, q):
            r = self.__class__(m=None)
            <... YOUR CODE HERE ...>
            return r

        def sparseness_metric(self):
            <... YOUR CODE HERE ...>

        def T(self):
            <... YOUR CODE HERE ...>
            
    return SparseMatrix7_class(**kwargs)
         

  
check your code manually:

import numpy as np
m1 = np.random.randint(10, size=(3,2))
print (m1)
m2 = np.random.randint(10, size=(2,3))
print (m2)
print ("-- ")
print (m1.dot(m2))

s1 = SparseMatrix7(m1)

s2 = SparseMatrix7(m2)

print (s1.dot(s2).to_dense().astype(int))
print ("--")
print (m2.dot(m1))
print (s2.dot(s1).to_dense().astype(int))

 

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