[Solved] What will be the result of this code? import numpy as np from scipy.linalg import cholesky A = np.array([[1, 2], [2, 1]]) L = cholesky(A) | SciPy

SciPy - Linear Algebra (scipy.linalg)

What will be the result of this code?

import numpy as np
from scipy.linalg import cholesky
A = np.array([[1, 2], [2, 1]])
L = cholesky(A)

AA lower triangular matrix L

BAn upper triangular matrix L

CA runtime error due to non-positive definite matrix

DA matrix of zeros

Step-by-Step Solution

Solution:

Step 1: Check matrix properties
Matrix A = [[1,2],[2,1]] is symmetric but not positive definite because its eigenvalues include negative values.
Step 2: Understand Cholesky behavior
Cholesky decomposition requires positive definiteness; otherwise, it raises a runtime error.
Final Answer:
A runtime error due to non-positive definite matrix -> Option C
Quick Check:
Non-positive definite matrix causes error [OK]

Quick Trick: Cholesky fails if matrix not positive definite [OK]

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What will be the result of this code?