The phenomenological time dependent Bloch equations have been a source of insightrnabout the magnetic resonance phenomena and the purpose of this study was tornsolve the Bloch equations in the laboratory frame. First, the time- dependent Blochrnequations were reduced to a homogeneous linear differential equation, and then arnsimple equation was derived to solve it using a matrix operation (diagonalizationrnmethod). Then, as an example, this method is applied to the time dependentrnBloch equations for protons in water and fat molecules in uniform static field. Thernradiofrequency (RF) pulse is first applied to disturb the protons so that they fall outrnof alignment with the static magnetic field. This disturbance occurs through therntransfer of energy from the RF pulse to the protons, that can only occur when thernRF pulse has the same frequency as the Larmor frequency of the protons. Thernrepresentative trajectories of transverse component describe the complete timernevolution of magnetization in the transverse component. The transverse magnetizationrnbehaviour can be described by transient sinusoidal oscillation. This has beenrnobserved due to the interaction with neighbouring spin, the amplitude magnetizationrndamped and oscillates sinusoidal with time that can considerably vary for differentrnmatters, depending on the size of the time constant T2 . For example, for water,rnT2 are quite high, dephasing of the transverse magnetization are slow. For fat,rnhowever, relaxation process are considerably faster. Hence, this work clearly describesrnthe effect of tissue properties (T2 relaxation time) of the proton of both waterrnand fat if they are exposed in a homogeneous field in the sample. The Fourierrntransformation of the time domain leads Lorentzian peak in the frequency spectrumrnin given sample.The matlab simulation results give the more physical insight aboutrnthe behaviour of magnetization.