Linear systems: Problem 7 (8 points) Consider the linear system
vec(y)^(')=[[-3,-2],[5,3]]vec(y).
a. Find the eigenvalues and eigenvectors for the coefficient matrix. b. Find the real-valued solution to the initial value problem
y_(1)^(')=-3y_(1)-2y_(2),y_(1)(0)=-6, y_(2)^(')=5y_(1)+3y_(2),y_(2)(0)=15.
Use
t
as the independent variable in your answers.
y_(1)(t)= y_(2)(t)=

Question

Linear systems: Problem 7 (8 points) Consider the linear system

vec(y)^(')=[[-3,-2],[5,3]]vec(y).

a. Find the eigenvalues and eigenvectors for the coefficient matrix. b. Find the real-valued solution to the initial value problem

y_(1)^(')=-3y_(1)-2y_(2),y_(1)(0)=-6,
y_(2)^(')=5y_(1)+3y_(2),y_(2)(0)=15.

Use

t

as the independent variable in your answers.

y_(1)(t)=
y_(2)(t)=

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(Solved): Linear systems: Problem 7 (8 points) Consider the linear system vec(y)^(')=[[-3,-2],[5,3]]vec(y). a ...