[Solved] Given the following code, what will be the output of print(M.matvec(b))?import numpy as np from scipy.sparse.linalg import LinearOperator A = np.array([[2, 0], [0, 5]]) b = np.... | SciPy

SciPy - Sparse Linear Algebra

Given the following code, what will be the output of print(M.matvec(b))?

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

A = np.array([[2, 0], [0, 5]])
b = np.array([4, 10])
M = LinearOperator(shape=A.shape, matvec=lambda x: x / np.diag(A))
print(M.matvec(b))

A[0.5, 2.0]

B[8.0, 50.0]

C[2.0, 2.0]

D[4.0, 10.0]

Step-by-Step Solution

Solution:

Step 1: Calculate diagonal of A
Diagonal elements are [2, 5].
Step 2: Apply matvec function
Divide each element of b by corresponding diagonal: [4/2, 10/5] = [2.0, 2.0].
Final Answer:
[2.0, 2.0] -> Option C
Quick Check:
Vector divided by diagonal = [2.0, 2.0] [OK]

Quick Trick: Divide vector elements by diagonal elements to get output [OK]

Common Mistakes:

Multiplying instead of dividing
Confusing vector and matrix multiplication
Using wrong diagonal values

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More SciPy Quizzes

Given the following code, what will be the output of print(M.matvec(b))?

Step 1: Calculate diagonal of A

Step 2: Apply matvec function

Final Answer:

Quick Check:

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