MATLAB Matrix and Array Operations 5

Question 1

What does `kron(A, B)` compute in MATLAB?

Accepted Answer

The Kronecker tensor product of A and B

Answer

`kron(A, B)` computes the Kronecker product, replacing each element of A with that scalar times the entire matrix B.

Question 2

Which MATLAB function computes the rank of a matrix?

Accepted Answer

rank(A)

Answer

`rank(A)` returns the numerical rank of A, estimated as the number of singular values above a tolerance.

Question 3

What is the output of `triu([1 2 3; 4 5 6; 7 8 9])`?

Accepted Answer

[1 2 3; 0 5 6; 0 0 9]

Answer

`triu` returns the upper triangular part of a matrix, keeping elements on and above the main diagonal.

Question 4

What does `repmat(A, 2, 3)` do to matrix A?

Accepted Answer

Tiles A into a 2×3 block grid

Answer

`repmat(A, m, n)` replicates A in an m×n tiling pattern to create a larger matrix.

Question 5

In MATLAB, what does `norm(v)` compute for a vector v by default?

Accepted Answer

The L2 norm (Euclidean length)

Answer

By default, `norm(v)` computes the 2-norm (Euclidean norm), the square root of the sum of squared elements.

MATLAB - MATLAB Technical Computing Practice Test