Consider A 2 dimensional matrix Of size MxN

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Consider A 2 dimensional matrix Of size MxN Consisting of both positive and negative values.Identify the largest Sub matrix whose values are All positive.

Input

[-1   -2

3    4]

Output

[3    4]

extract sub matrices Using Python,Method to extract submatrix from numpy matrix,submatrices of a Given Matrix, how get sub matrix in python

import numpy as np
a = np.array([[-1, 2, 3, 4], [5, 6, 7, 8], [9, 10, 11, 12], [13, 14, 15, -16]])
# Extract all possible sub-arrays of a
sub_arrays = []
if not (a< 0).all():
for i in range(a.shape[0]):
for j in range(a.shape[1]):
for k in range(i+1, a.shape[0]+1):
for l in range(j+1, a.shape[1]+1):
if (a[i:k, j:l] >= 0).all():
sub_arrays.append(a[i:k, j:l])
if not sub_arrays==[]:
# Find the maximum shape
max_shape = 0
for array in sub_arrays:
if max_shape is None or array.size > max_shape:
max_shape = array.size
# Print the arrays with the maximum shape
for array in sub_arrays:
if array.size == max_shape:
print('Largest sub matrix Whose value are all +ve-',array)
print()
else:
print('There Are No Largest sub matrix Exist Whose value are all +ve')
Largest sub matrix Whose value are all +ve- [[ 2  3  4]
[ 6  7  8]
[10 11 12]]

Largest sub matrix Whose value are all +ve- [[ 5  6  7]
[ 9 10 11]
[13 14 15]]

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numpy,array,2d array,matrix,array in python,extract sub array in python,extract sub array Using Programming,extract sub matrices Using Programming

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