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

solve(A, b)

Answer

linalg(A, b)

Answer

eig(A, b)

Question 2

What does the MATLAB function `fzero` do?

Accepted Answer

Finds a root of a nonlinear scalar function

Answer

Sets all array elements to zero

Answer

Computes the zero-crossing frequency

Answer

Evaluates a function at zero

Question 3

Which function in MATLAB computes numerical integration using adaptive quadrature?

Accepted Answer

integral

Answer

trapz

Answer

cumsum

Answer

diff

Question 4

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

Accepted Answer

Runge-Kutta 4th/5th order method

Answer

Euler's explicit method

Answer

Adams-Bashforth method

Answer

Finite difference method

Question 5

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

Accepted Answer

fminsearch

Answer

min

Answer

optimize

Answer

fsolve

Question 6

What does the `polyfit(x, y, n)` function return in MATLAB?

Accepted Answer

Coefficients of a polynomial of degree n fitted to data

Answer

A plot of the polynomial

Answer

The integral of the polynomial

Answer

The roots of the fitted polynomial