Solving linear systems (A\b) in MATLAB - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to solve the system Ax = b.

MATLAB

x = A [1] b;

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

A\

B/

C*

D+

Attempts:

3 left

💡 Hint

Common Mistakes

Using * instead of \ to solve the system.

Using / which is for right division, not solving Ax = b.

In MATLAB, the backslash operator \ solves the system Ax = b efficiently.

2fill in blank

medium

Complete the code to solve the system and store the result in variable x.

MATLAB

x = [1] \ b;

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

Ainv(A)

Bb

Cx

DA

Attempts:

3 left

💡 Hint

Common Mistakes

Putting b before the backslash operator.

Using inv(A) which is less efficient and not recommended.

The matrix A is on the left side of the backslash operator to solve Ax = b.

3fill in blank

hard

Fix the error in the code to correctly solve the system Ax = b.

MATLAB

x = A [1] b;

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

A/

B*

C\

D+

Attempts:

3 left

💡 Hint

Common Mistakes

Using / which performs right division, not solving the system.

Using * which multiplies matrices but does not solve equations.

The correct operator to solve Ax = b is the backslash \, not division or multiplication.

4fill in blank

hard

Complete the code to create a matrix of solutions for multiple right-hand sides.

MATLAB

solutions = A [1] b(:, :);

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

A\

B:

C,

D*

Attempts:

3 left

💡 Hint

Common Mistakes

Using * instead of \ to solve the system.

Using , instead of : to select all rows.

Use \ to solve the systems for all columns of b and : to select all rows and columns of b.

5fill in blank

hard

Fill all three blanks to solve and store solutions for each column of b in an array.

MATLAB

for [1] = 1:size(b, 2)
    solutions([2]) = A [3] b(:, i);
end

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

Ai

C\

D*

Attempts:

3 left

💡 Hint

Common Mistakes

Using * instead of \ to solve the system.

Using a different variable name than the loop index.

Use i as the loop variable and index, and \ to solve the system.