Consider the linear system

Question

Consider the linear system:

y=[3,2,-5,-3]y

a) Find the eigenvalue and eigenvectors for the coefficient matrix

b) Find the real-valued solution to the initial value problem

{y1=3y1+2y2, y1(0)=2

y2’=-5y1-3y2, y2(0)=-5

use t as the independent variable in your answers to find y1(t) AND y2(t)

Math