a) Show that the real and imaginary parts of (2.41) agree withthe first two solutions in (2.33).
eq 2.41:- μ+(t) = μ+(0)e−iω0t
eq 2.33:- μx(t) = μx(0) cos ω0t + μy(0) sin ω0t μy(t) = μy(0)cos ω0t − μx(0) sin ω0t μz(t) = μz(0)
textbook: Magnetic resonance imaging, physical principles andsequence design
b) Demonstrate that (2.24) implies dμ/dt = 0. Hint: Form ascalar (dot) product
of both sides of (2.24) with ~μ.
eq 2.24: dμ/dt = γμ × B
