MATLAB MATLAB Numerical Methods and Optimization

Question 1

Which MATLAB function solves a system of linear equations Ax = b?

Accepted Answer

linsolve(A, b) or A\b

Answer

MATLAB solves linear systems using the backslash operator A\b or the linsolve function.

Question 2

What does the MATLAB function `fzero` do?

Accepted Answer

Finds a root of a nonlinear scalar function

Answer

fzero finds a zero (root) of a scalar nonlinear function near a specified starting point.

Question 3

Which function in MATLAB computes numerical integration using adaptive quadrature?

Accepted Answer

integral

Answer

The integral function uses adaptive Gauss-Kronrod quadrature to numerically integrate a function over a specified interval.

Question 4

What does the `ode45` function use to solve differential equations?

Accepted Answer

Runge-Kutta 4th/5th order method

Answer

ode45 implements a variable-step Runge-Kutta method of orders 4 and 5 for solving ODEs.

Question 5

Which MATLAB function finds the minimum of an unconstrained multivariable function?

Accepted Answer

fminsearch

Answer

fminsearch uses the Nelder-Mead simplex algorithm to minimize a multivariable function without constraints.

MATLAB - MATLAB Technical Computing Practice Test