MATLAB MATLAB Numerical Methods and Optimization 2

Question 1

Which MATLAB function computes the eigenvalues and eigenvectors of a matrix?

Accepted Answer

eig

Answer

The eig function returns the eigenvalues and optionally the eigenvectors of a square matrix.

Question 2

What is the purpose of the `trapz` function in MATLAB?

Accepted Answer

Numerical integration using the trapezoidal rule

Answer

trapz numerically integrates data using the trapezoidal rule over uniformly or non-uniformly spaced data points.

Question 3

How do you compute the LU decomposition of matrix A in MATLAB?

Accepted Answer

[L, U, P] = lu(A)

Answer

The lu function performs LU factorization with partial pivoting, returning lower, upper, and permutation matrices.

Question 4

Which MATLAB function minimizes a function subject to linear constraints?

Accepted Answer

linprog

Answer

linprog solves linear programming problems to minimize a linear objective function subject to linear equality and inequality constraints.

Question 5

What does `cond(A)` compute in MATLAB?

Accepted Answer

The condition number of matrix A

Answer

cond(A) returns the 2-norm condition number of A, indicating how sensitive the solution is to perturbations.

MATLAB - MATLAB Technical Computing Practice Test