Matrix rank and null space in MATLAB - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to calculate the rank of matrix A.

MATLAB

r = [1](A);

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

Arank

Bnull

Csize

Ddet

Attempts:

3 left

💡 Hint

Common Mistakes

Using null instead of rank.

Using size which returns matrix dimensions, not rank.

The rank function returns the rank of matrix A.

2fill in blank

medium

Complete the code to find the null space of matrix B.

MATLAB

N = [1](B);

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

Adet

Brank

Cinv

Dnull

Attempts:

3 left

💡 Hint

Common Mistakes

Using rank instead of null.

Using inv which requires a square invertible matrix.

The null function returns a basis for the null space of matrix B.

3fill in blank

hard

Fix the error in the code to compute the rank of matrix C.

MATLAB

r = rank[1]C[2];

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

A(

B)

C[

Attempts:

3 left

💡 Hint

Common Mistakes

Using square brackets or curly braces instead of parentheses.

Omitting parentheses entirely.

Function calls in MATLAB require parentheses around the input argument, like rank(C).

4fill in blank

hard

Fill both blanks to create a dictionary (struct) of ranks for matrices M and N.

MATLAB

ranks.M = [1](M);
ranks.N = [2](N);

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

Arank

Bnull

Csize

Ddet

Attempts:

3 left

💡 Hint

Common Mistakes

Using null for one or both blanks.

Using size or det which do not return rank.

Use rank to get the rank of both matrices M and N.

5fill in blank

hard

Fill all three blanks to compute rank, null space, and size of matrix P.

MATLAB

r = [1](P);
n = [2](P);
s = [3](P);

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

Arank

Bnull

Csize

Ddet

Attempts:

3 left

💡 Hint

Common Mistakes

Mixing up rank and null.

Using det instead of size.

Use rank for rank, null for null space, and size for dimensions of P.