3.1 Write a function called matrix_classifier that has one input called Matrix 1represented as a numpy array. The function should classify the matrix as one of (i)one-to-one, (ii) onto, (iii) both (i.e. invertible), or (iv) neither. It should return theclassification represented as a string (i.e. either "one-to-one", "onto", "invertible", or"neither").InStudent's answerimport numpy as npdef matrix_classifier (Matrix1):# Check if the matrix is squareif Matrix1.shape [0] != Matrix1.shape [1]:return "neither" # Not square, cannot calculate det# Calculate the determinant of the matrixdet = np. linalg.det (Matrix1)# Calculate the rank of the matrixrank = np.linalg.matrix_rank (Matrix1)if det! 0:# If the determinant is nonzero, it's invertiblereturn "invertible"elif rank(Top)Matrix1.shape [1]:# If the rank is less than the number of columns, itreturn "neither"else:# If the rank equals the number of columns, check ifif rank Matrix1.shape [0]:return "onto"return "one-to-one"else:

The question is asking for the implementation of a Python function called matrix_classifier. This…

3.1 Write a function called matrix_classifier that has one input called Matrix1 represented as a numpy array. The function should classify the matrix as one of (i) one-to-one, (ii) onto, (iii) both (i.e. invertible), or (iv) neither. It should return the classification represented as a string (i.e. either "one-to-one", "onto", "invertible", or "neither").

3.1 Write a function called matrix_classifier that has one input called Matrix1 represented as a numpy array. The function should classify the matrix as one of (i) one-to-one, (ii) onto, (iii) both (i.e. invertible), or (iv) neither. It should return the classification represented as a string (i.e. either "one-to-one", "onto", "invertible", or "neither").

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

Problem 1PE

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Question

3.1 Write a function called matrix_classifier that has one input called Matrix 1
represented as a numpy array. The function should classify the matrix as one of (i)
one-to-one, (ii) onto, (iii) both (i.e. invertible), or (iv) neither. It should return the
classification represented as a string (i.e. either "one-to-one", "onto", "invertible", or
"neither").
In
Student's answer
import numpy as np
def matrix_classifier (Matrix1):
# Check if the matrix is square
if Matrix1.shape [0] != Matrix1.shape [1]:
return "neither" # Not square, cannot calculate det
# Calculate the determinant of the matrix
det = np. linalg.det (Matrix1)
# Calculate the rank of the matrix
rank = np.linalg.matrix_rank (Matrix1)
if det! 0:
# If the determinant is nonzero, it's invertible
return "invertible"
elif rank
(Top)
Matrix1.shape [1]:
# If the rank is less than the number of columns, it
return "neither"
else:
# If the rank equals the number of columns, check if
if rank Matrix1.shape [0]:
return "onto"
return "one-to-one"
else:

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