Friday 21 June 2024

Matrix in Python

 

Rank of Matrix
import numpy as np

x = np.matrix("4,5,16,7;2,-3,2,3;,3,4,5,6;4,7,8,9")
print(x)
[[ 4  5 16  7]
 [ 2 -3  2  3]
 [ 3  4  5  6]
 [ 4  7  8  9]]
#numpy.linalg.matrix_rank() - return a rank of a matrix
# Syntax: numpy.linalg.matrix_rank(matrix)
rank_matrix = np.linalg.matrix_rank(x)
print(rank_matrix)
4
Determinant of Matrix
import numpy as np

x = np.matrix("4,5,16,7;2,-3,2,3;,3,4,5,6;4,7,8,9")
print(x)
[[ 4  5 16  7]
 [ 2 -3  2  3]
 [ 3  4  5  6]
 [ 4  7  8  9]]
det_matrix = np.linalg.det(x)
print(det_matrix)
128.00000000000009
Inverse of a Matrix
inverse formula = A-1 = (1/determinant of A) * adj A

numpy.linalg.inv() - return the multiplicative inverse of a matrix Syntax: numpy.linalg.inv(matrix)

A = np.matrix("3,1,2;3,2,5;6,7,8")
print(A)
[[3 1 2]
 [3 2 5]
 [6 7 8]]
Inv_matrix = np.linalg.inv(A)
print(Inv_matrix)
[[ 0.57575758 -0.18181818 -0.03030303]
 [-0.18181818 -0.36363636  0.27272727]
 [-0.27272727  0.45454545 -0.09090909]]

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