[Solved] What is the output of the following code?import numpy as np from scipy.linalg import norm A = np.array([[3, 4], [0, 0]]) n = norm(A, ord=2) | SciPy

SciPy - Linear Algebra (scipy.linalg)

What is the output of the following code?

import numpy as np
from scipy.linalg import norm
A = np.array([[3, 4], [0, 0]])
n = norm(A, ord=2)

A5.0

B4.0

C3.0

D7.0

Step-by-Step Solution

Solution:

Step 1: Understand norm with ord=2
Norm with ord=2 calculates the largest singular value (spectral norm) of matrix A.
Step 2: Calculate norm of A
Matrix A has rows [3,4] and [0,0]. The largest singular value equals the Euclidean norm of [3,4], which is sqrt(3^2 + 4^2) = 5.
Final Answer:
5.0 -> Option A
Quick Check:
Matrix spectral norm = 5.0 [OK]

Quick Trick: Norm with ord=2 gives largest singular value [OK]

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