for the following systems of equations:

a) express them in matrix form Ẋ = AẊ

b) find the characteristic equation

c) find all eigenvalues; Describe all vectors

eigenvalues corresponding to each eigenvalue found in c).

a) [tex]x = −4x + 2y; y = 2x − y[/tex]

b) [tex] x = −6x + 4y; y = −3x + y[/tex]

c) [tex] x = x − y; y = −4x + y[/tex]