MATLAB MATLAB Numerical Methods and Optimization 3

Question 1

Which MATLAB function computes the Singular Value Decomposition of a matrix?

Accepted Answer

svd

Answer

eig

Answer

qr

Answer

chol

Question 2

What solver should you use for stiff ordinary differential equations in MATLAB?

Accepted Answer

ode15s

Answer

ode45

Answer

ode23

Answer

ode113

Question 3

What does `fmincon` do in MATLAB's Optimization Toolbox?

Accepted Answer

Minimizes a nonlinear function subject to constraints

Answer

Finds the minimum value in an array

Answer

Solves constrained linear equations

Answer

Minimizes a function over a finite domain

Question 4

Which MATLAB function performs the Fast Fourier Transform?

Accepted Answer

fft

Answer

fourier

Answer

dft

Answer

spectrum

Question 5

What does `interp1(x, y, xq)` do in MATLAB?

Accepted Answer

Interpolates values at query points xq using data (x, y)

Answer

Integrates y over x at xq points

Answer

Differentiates y at points xq

Answer

Plots y versus x at xq intervals

Question 6

What is the purpose of `chol(A)` in MATLAB?

Accepted Answer

Computes the Cholesky factorization of a symmetric positive definite matrix

Answer

Calculates the characteristic polynomial of A

Answer

Finds the column-order of matrix A

Answer

Choleski transforms A for eigenvalue solving