[Solved] What will the following code print?import numpy as np from scipy.sparse import csc_matrix from scipy.sparse.linalg import spsolve A = csc_matrix([[1, 2], [3, 4]]) b = np.... | SciPy

SciPy - Sparse Matrices (scipy.sparse)

What will the following code print?

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

A = csc_matrix([[1, 2], [3, 4]])
b = np.array([5, 11])
x = spsolve(A, b)
print(np.round(x, 2))

A[1. 2.]

B[2. 1.]

C[5. 11.]

D[0.5 1.5]

Step-by-Step Solution

Solution:

Step 1: Set up the linear system
Matrix A and vector b represent the system A*x = b.
Step 2: Solve manually or verify solution
Solving: 1*x0 + 2*x1 = 5 and 3*x0 + 4*x1 = 11 gives x0=1, x1=2.
Final Answer:
[1. 2.] -> Option A
Quick Check:
Linear system solution = [1, 2] [OK]

Quick Trick: Solve Ax=b by hand for small matrices to verify [OK]

Common Mistakes:

MISTAKES

Mixing up x0 and x1 values
Not rounding output
Assuming sparse matrix changes solution

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What will the following code print?

Step 1: Set up the linear system

Step 2: Solve manually or verify solution

Final Answer:

Quick Check:

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