Why sparse solvers handle large systems in SciPy - Test Your Understanding

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the sparse linear solver from SciPy.

SciPy

from scipy.sparse.linalg import [1]

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Asolve

Bspsolve

Clinalg

Dsparse

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'solve' which is for dense matrices.

Importing 'linalg' instead of the solver function.

The spsolve function is used to solve sparse linear systems efficiently.

2fill in blank

medium

Complete the code to create a sparse matrix in CSR format.

SciPy

from scipy.sparse import [1]

matrix = [1]((data, (row, col)), shape=(4, 4))

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Acsr_matrix

Bdense_matrix

Ccoo_matrix

Dcsc_matrix

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'dense_matrix' which is not a sparse format.

Confusing CSR with COO format.

The csr_matrix format is efficient for arithmetic and matrix vector operations.

3fill in blank

hard

Fix the error in the code to solve a sparse linear system.

SciPy

from scipy.sparse.linalg import spsolve
from scipy.sparse import csr_matrix

A = csr_matrix([[3, 0], [0, 4]])
b = [6, 8]
x = spsolve([1], b)

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Aspsolve

Bb

Ccsr_matrix

DA

Attempts:

3 left

💡 Hint

Common Mistakes

Passing the vector 'b' as the first argument.

Passing the function name instead of the matrix.

The first argument to spsolve must be the sparse matrix A.

4fill in blank

hard

Fill both blanks to create a sparse diagonal matrix and solve it.

SciPy

from scipy.sparse import [1]
from scipy.sparse.linalg import spsolve

D = [2]([1, 2, 3], 0, shape=(3, 3))
b = [1, 4, 9]
x = spsolve(D, b)

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Adiags

Bcsr_matrix

Dcsc_matrix

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'csr_matrix' to create diagonal matrices directly.

Confusing 'diags' with 'csc_matrix'.

The diags function creates a sparse diagonal matrix from the given diagonal values.

5fill in blank

hard

Fill all three blanks to create a sparse system and solve it efficiently.

SciPy

from scipy.sparse import [1]
from scipy.sparse.linalg import [2]

A = [1]([[10, 0], [0, 5]])
b = [20, 15]
x = [2](A, b)

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Acsr_matrix

Bspsolve

Dcsc_matrix

Attempts:

3 left

💡 Hint

Common Mistakes

Using dense matrix formats.

Mixing up the order of arguments.

Use csr_matrix to create the sparse matrix and spsolve to solve the system.