MATLAB MATLAB Numerical Methods and Optimization 3

Question 1

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

Accepted Answer

svd

Answer

svd decomposes a matrix A into U, S, and V such that A = U*S*V', where S contains the singular values.

Question 2

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

Accepted Answer

ode15s

Answer

ode15s is designed for stiff problems, using a variable-order method based on numerical differentiation formulas.

Question 3

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

Accepted Answer

Minimizes a nonlinear function subject to constraints

Answer

fmincon finds the minimum of a nonlinear multivariable function subject to linear and nonlinear constraints.

Question 4

Which MATLAB function performs the Fast Fourier Transform?

Accepted Answer

fft

Answer

The fft function computes the discrete Fourier transform of an input vector using the Fast Fourier Transform algorithm.

Question 5

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

Accepted Answer

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

Answer

interp1 performs 1-D data interpolation, estimating values at query points xq based on known data pairs (x, y).

MATLAB - MATLAB Technical Computing Practice Test