Consider the Initial Value Problem: dx/dt=[-4 -2] x, x(0)=[8]

2 -4 7

a) Find the eigenvalues and eigenvectors for the coefficient matrix.

1=[], v1=[---], and 2=[], v2[---],

b)Find the solution to the initial value problem. Give your solution in real form.

x(t)=[---]

1. Consider the initial value problem: dx/dt=[4,-2] x, x(0)=[6,8]

2, 4

same steps as the first problem