[Solved] What will be the output of the following code?import numpy as np from scipy.linalg import eig A = np.array([[0, -1], [1, 0]]) values, vectors = eig(A) print(values) | SciPy

SciPy - Linear Algebra (scipy.linalg)

What will be the output of the following code?

import numpy as np
from scipy.linalg import eig
A = np.array([[0, -1], [1, 0]])
values, vectors = eig(A)
print(values)

A[1. 0.]

B[0.+1.j 0.-1.j]

C[0. 1.]

D[1.+0.j 1.-0.j]

Step-by-Step Solution

Solution:

Step 1: Understand the matrix
The matrix A = [[0, -1], [1, 0]] represents a 90-degree rotation in 2D space.
Step 2: Compute eigenvalues
The eigenvalues of this rotation matrix are complex conjugates: +i and -i, which correspond to 0 + 1j and 0 - 1j in Python notation.
Final Answer:
[0.+1.j 0.-1.j] -> Option B
Quick Check:
Eigenvalues of rotation matrices are complex conjugates [OK]

Quick Trick: Rotation matrices have purely imaginary eigenvalues [OK]

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