Python Identity Matrix
import numpy as np
Example 1 Create a 3x3 identity matrix
I = np.identity(3)
print("3x3 Identity Matrix:")
print(I)
also can use np.eye
I2 = np.eye(3)
print("3x3 Identity Matrix:")
print(I2)
Example 2 Matrix Multiplication
Define a random matrix A
A = np.array([[2, 6], [3, 3]])
Identity matrix of appropriate size
I = np.identity(2)
# Multiplication with the identity matrix
result = np.dot(A, I)
print("Matrix A:")
print(A)
print("A multiplied by Identity Matrix:")
print(result)
Multiplication with the identity matrix
result2 = np.dot(I, A)
print("A multiplied by Identity Matrix:")
print(result2)
Example 3 Determinant of the Identity Matrix
det_I = np.linalg.det(I)
print("Determinant of Identity Matrix:")
print(det_I)
Example 4 Identity Matrix is Its Own Inverse
inverse_I = np.linalg.inv(I)
print("Inverse of Identity Matrix:")
print(inverse_I)
Example 5 Eigenvalues of the Identity Matrix
eigenvalues, _ = np.linalg.eig(I)
print("Eigenvalues of Identity Matrix:")
print(eigenvalues)
