Solving linear systems (solve) in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the function that solves linear systems.

SciPy

from scipy.linalg import [1]

A = [[3, 1], [1, 2]]
b = [9, 8]
x = [1](A, b)
print(x)

Drag options to blanks, or click blank then click option'

Asolve

Binv

Cdet

Deig

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'inv' instead of 'solve' to solve the system.

Trying to use 'det' or 'eig' which are unrelated to solving linear systems.

The solve function from scipy.linalg is used to solve linear systems Ax = b.

2fill in blank

medium

Complete the code to solve the system and print the solution vector.

SciPy

from scipy.linalg import solve

A = [[4, 2], [3, 1]]
b = [10, 8]
x = solve(A, [1])
print(x)

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A[10, 8]

Bb

CA

Dsolve

Attempts:

3 left

💡 Hint

Common Mistakes

Passing matrix A as second argument instead of vector b.

Passing the function name 'solve' as argument.

The second argument to solve is the vector b representing the right side of the equation Ax = b.

3fill in blank

hard

Fix the error in the code to correctly solve the linear system.

SciPy

from scipy.linalg import solve

A = [[1, 2], [3, 4]]
b = [5, 6]
x = solve([1], b)
print(x)

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AA

Bb

C[5, 6]

Dsolve

Attempts:

3 left

💡 Hint

Common Mistakes

Swapping the order of arguments to solve.

Passing the vector b as first argument.

The first argument to solve must be the coefficient matrix A.

4fill in blank

hard

Fill both blanks to create a dictionary of solutions for each variable from the system.

SciPy

from scipy.linalg import solve

A = [[2, 1], [1, 3]]
b = [8, 13]
x = solve(A, b)
solution = { [1]: x[0], [2]: x[1] }
print(solution)

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A"x1"

B"x2"

C"a"

D"b"

Attempts:

3 left

💡 Hint

Common Mistakes

Using matrix or vector names as keys instead of variable names.

Using unquoted keys causing syntax errors.

The dictionary keys should be variable names like 'x1' and 'x2' to label the solution components.

5fill in blank

hard

Fill the blanks to create a dictionary comprehension that maps variable names to their solutions if the solution is positive.

SciPy

from scipy.linalg import solve

A = [[1, -1], [2, 3]]
b = [1, 12]
x = solve(A, b)
result = { [1]: x[i] for i in range(2) if x[i] [2] 0 }
print(result)

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A"x" + str(i+1)

B>

C>=

D"var" + str(i)

Attempts:

3 left

💡 Hint

Common Mistakes

Using incorrect string concatenation for keys.

Using '<' or '<=' instead of '>' in the condition.

The dictionary comprehension creates keys like 'x1', 'x2' for variables. The condition checks if the solution is greater than zero.