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Implement Strassen’s Matrix Multiplication Algorithm (50 points)

Sample code has been provided that implements a basic implementation of Divide and Conquer for Matrix
Multiplication. You should use this code as your base (copy+paste) into your own function that implements
Strassen’s method explained in Week 5 slides.

Your assignment is to implement Strassen’s algorithm for
Matrix Multiplication. Submit a python file with a function ”strassens(A,B)” that can be called and tested.

Submission Instructions Please submit a single python file (.py) with a function defined as described
blow. If you would like to include any of your own test code, please include at bottom using:
if __name__ == “__main__”:
This allows the class to be imported for grading/testing without executing your tests. Also, please refrain
from including print statements in your submission.
Please name the file:
Strassens.py

Your submission should contain the following function definition:
def strassens(A, B):
“””
Uses Strassen’s method for matrix multiplication to return the product of the two
provided Matrices A and B.
:param A: the first matrix to multiply. Implemented as a np.array
:param B: The second matrix to multiply. Implemented as a np.array
:return: The product of A and B
“””

Description of the provided code The file MatrixMult Starter.py contains two basic methods.
def recursive_matrix_mult(A, B):
“””
Recursively multiplies sub matrices of A and B
:param a: The first Matrix A implemented as a np.array
:param b: The second Matrix B implemented as a np.array
:return: The product of a and b
“””
def basic_smoke_test():
“”” Calls recursive_matrix_mult and throws AssertionException if calculations are not
performed as expected.
“””