[Solved] What will be the output of the following code?import numpy as np from scipy.sparse import csc_matrix from scipy.sparse.linalg import spsolve A = csc_matrix([[5, 0], [0, 10]]) b = np.... | SciPy

SciPy - Sparse Matrices (scipy.sparse)

What will be the output of the following code?

import numpy as np
from scipy.sparse import csc_matrix
from scipy.sparse.linalg import spsolve

A = csc_matrix([[5, 0], [0, 10]])
b = np.array([10, 20])
x = spsolve(A, b)
print(x)

A[10 20]

B[0.5 0.1]

C[2. 2.]

DError due to matrix format

Step-by-Step Solution

Solution:

Step 1: Understand the system
The matrix A is diagonal with entries 5 and 10, vector b is [10, 20].
Step 2: Solve Ax = b
For diagonal A, solution x = b / diag(A) = [10/5, 20/10] = [2, 2].
Final Answer:
[2. 2.] -> Option C
Quick Check:
Is x = b / diag(A)? Yes. [OK]

Quick Trick: For diagonal A, x = b divided by diagonal elements [OK]

Common Mistakes:

MISTAKES

Confusing matrix multiplication with element-wise division
Expecting an error due to sparse format
Misreading the vector b

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What will be the output of the following code?

Step 1: Understand the system

Step 2: Solve Ax = b

Final Answer:

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