How many of the following are descriptions of the vector y for the equation y′ vector =A(y vector) where A is a 2×2 matrix? (The vector symbol wasn't working so I just used the word.) A. a function...

How many of the following are descriptions of the vector y for the equation y′ vector =A(y vector) where A is a 2×2 matrix? (The vector symbol wasn't working so I just used the word.)



A. a function y(t) whose derivative is y′(t)

B. a solution to a certain homogeneous system of linear ODEs

C. an eigenvector for A

D. a vector function y(t)=(y1(t) y2(t)) whose derivative is the vector function y′(t)=(y′1(t) y′2(t))

E. a linear combination of exponential functions of the form e^λjt for the eigenvalues λj of A

F. a vector y whose derivative is the vector 0

G. a vector whose entries are the two eigenvalues of A