Singular value decomposition (svd) in MATLAB - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to perform singular value decomposition on matrix A.

MATLAB

[U, S, V] = [1](A);

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

Aeig

Bdet

Cinv

Dsvd

Attempts:

3 left

💡 Hint

Common Mistakes

Using eigenvalue function eig instead of svd.

Trying to invert the matrix with inv.

The svd function in MATLAB computes the singular value decomposition of a matrix.

2fill in blank

medium

Complete the code to extract the singular values from matrix A.

MATLAB

S = [1](A);

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

Arank

Beig

Csvd

Ddet

Attempts:

3 left

💡 Hint

Common Mistakes

Using eig which returns eigenvalues, not singular values.

Using rank or det which do not return singular values.

The svd function returns singular values when called with one output.

3fill in blank

hard

Fix the error in the code to compute the SVD of matrix B.

MATLAB

[U, S, V] = svd([1]);

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

Ab

BB

CB()

DB[]

Attempts:

3 left

💡 Hint

Common Mistakes

Using lowercase b instead of B.

Adding parentheses or brackets after the variable name.

Variable names in MATLAB are case-sensitive. Use B exactly as defined.

4fill in blank

hard

Fill both blanks to create a diagonal matrix of singular values and reconstruct matrix A.

MATLAB

S = diag([1]);
A_reconstructed = [2] * S * V';

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

As

BU

CV

DS

Attempts:

3 left

💡 Hint

Common Mistakes

Using S instead of the vector s for diag.

Using V instead of U for reconstruction.

The vector of singular values is s. The matrix U is used to reconstruct A with S and V.

5fill in blank

hard

Fill all three blanks to compute the reduced SVD of matrix M.

MATLAB

[[1], [2], [3]] = svd(M, 'econ');

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

AU

BS

CV

DE

Attempts:

3 left

💡 Hint

Common Mistakes

Using E which is not a standard output of svd.

Mixing the order of U, S, and V.

The reduced SVD returns U, S, and V matrices.