Mr Ng's MA1513 Championship - Round 5

Diagonalization is a technique used for _____.

• finding eigenvalues and eigenvectors

• finding the determinant of a matrix

• computing the inverse of a matrix

• solving systems of linear equations

If A is diagonalizable, then Aⁿ is _____.

• never diagonalizable

• diagonalizable only for odd powers

• diagonalizable only for even powers

• always diagonalizable

What is the defining characteristic of a homogeneous linear SDE?

• It contains only one equation.

• All equations have zero constant terms.

• The coefficients of the equations are constants.

• The system involves non-linear differential equations.

What do we need in order to solve y'=Ay?

• The eigenvalues of A

• The eigenvectors of A

• The determinant of A

• The trace of A

In a phase plane plot, an equilibrium point corresponds to _____.

• a stable system

• an unstable system

• a point where the state variables do not change over time

• a point of maximum oscillation