#315pts) Prove the following theorem. ?eorem : Given u(r) and v(C) be real-valued vector functions. If w, (t XXXXXXXXXXi v(r) and w. (t)s Ir(r)-iv(,) are complex conjugate solutions to x'-Ae , then...

#315pts) Prove the following theorem. ?eorem : Given u(r) and v(C) be real-valued vector functions. If w, (t)-11() + i v(r) and w. (t)s Ir(r)-iv(,) are complex conjugate solutions to x'-Ae , then x,(t)-u(t) and x,0)=v(, [Hint# 1: Any vector in the span[n(n,w.()} is also a solution tor,-Ax.] [Hint #2: Look ) are (real-valued) solutions of X, AX ataprevious take-home quiz) [Hint #3: Read ahead in your textbook as usual to get a hint.]