Compute the code that return the matrix M = AT A for a given matrix A- the superscript T denoted the transpose. I have started the code for you, which gets the dimension of the matrix, and creates the zero matrix of the correct size. I have also provided some of the loops involved.

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Compute the code that return the matrix M = AT A for a given matrix A - the superscript T denoted the transpose. I have started the code for you, which gets the
dimension of the matrix, and creates the zero matrix of the correct size. I have also provided some of the loops involved.
# perform and return the multiplication of $A^TA$
import numpy as np
def multiply_At_A(A):
# these Lines set up the correct dimensions of the returned matrix.
# the matrix A is of dimension dim1 x dim2 -
# the matrix A^T (transpose of A) is dim2 x dim1
# the matrix (A^T A) is of dimension dim2 x dim2
dim1= A.shape [0]
dim2 = A.shape [1]
matrix = np.zeros([dim2, dim2])
for i in range (dim2):
for j in range (dim2):
# complete the final Loop to compute matrix[i,j]
# YOUR CODE HERE
return matrix
Transcribed Image Text:Compute the code that return the matrix M = AT A for a given matrix A - the superscript T denoted the transpose. I have started the code for you, which gets the dimension of the matrix, and creates the zero matrix of the correct size. I have also provided some of the loops involved. # perform and return the multiplication of $A^TA$ import numpy as np def multiply_At_A(A): # these Lines set up the correct dimensions of the returned matrix. # the matrix A is of dimension dim1 x dim2 - # the matrix A^T (transpose of A) is dim2 x dim1 # the matrix (A^T A) is of dimension dim2 x dim2 dim1= A.shape [0] dim2 = A.shape [1] matrix = np.zeros([dim2, dim2]) for i in range (dim2): for j in range (dim2): # complete the final Loop to compute matrix[i,j] # YOUR CODE HERE return matrix
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