[Solved] Given the code below, what will be the output of print(vals)? import numpy as np from scipy.sparse.linalg import eigsh A = np.... Given the code below, what will be the output of print(vals)? | SciPy

SciPy - Sparse Linear Algebra

Given the code below, what will be the output of print(vals)?

import numpy as np
from scipy.sparse.linalg import eigsh

A = np.array([[2, 1], [1, 2]])
vals, vecs = eigsh(A, k=1, which='LM')
print(np.round(vals, 2))

A[2.00]

B[1.00]

C[3.00]

D[0.00]

Step-by-Step Solution

Solution:

Step 1: Understand the matrix and eigenvalues
Matrix A is symmetric with values [[2,1],[1,2]]. Its eigenvalues are 3 and 1.
Step 2: Check the function call parameters
eigsh is called with k=1 and which='LM' meaning largest magnitude eigenvalue. So it returns the largest eigenvalue, which is 3.
Final Answer:
[3.00] -> Option C
Quick Check:
Largest eigenvalue = 3.00 [OK]

Quick Trick: which='LM' returns largest eigenvalue [OK]

Common Mistakes:

Confusing largest eigenvalue with smallest
Not rounding output
Using eigs instead of eigsh for symmetric matrix

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Given the code below, what will be the output of print(vals)?

Step 1: Understand the matrix and eigenvalues

Step 2: Check the function call parameters

Final Answer:

Quick Check:

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