MATLAB MATLAB Numerical Methods and Optimization 2

Question 1

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

Accepted Answer

eig

Answer

svd

Answer

rank

Answer

norm

Question 2

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

Accepted Answer

Numerical integration using the trapezoidal rule

Answer

Plotting trapezoidal shapes

Answer

Decomposing a matrix into trapezoid form

Answer

Computing the trace of a matrix

Question 3

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

Accepted Answer

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

Answer

[L, U] = decomp(A)

Answer

ludecomp(A)

Answer

[L, U] = factor(A)

Question 4

Which MATLAB function minimizes a function subject to linear constraints?

Accepted Answer

linprog

Answer

fminsearch

Answer

quadprog

Answer

fminbnd

Question 5

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

Accepted Answer

The condition number of matrix A

Answer

The conditional mean of A

Answer

The eigenvalue condition of A

Answer

The convergence order of A

Question 6

What is the output of `roots([1 -3 2])` in MATLAB?

Accepted Answer

[2; 1]

Answer

[1; 2]

Answer

[-1; -2]

Answer

[3; -2]