The commissioner of corrections and community supervision is hereby authorized and directed to assist and cooperate with the commissioner of mental health in the establishment and conduct of such psychiatric and diagnostic clinics in the institutions and facilities under their jurisdiction as such commissioners may deem necessary within the amount appropriated therefor. The persons conducting the work of such clinics shall determine the physical and mental condition of all incarcerated individuals serving an indeterminate term, having a minimum of one day and a maximum of natural life, and of such other incarcerated individuals whose criminal record, behavior or other factors indicate to those in charge of such clinics the need of study and treatment. The work of the clinics shall include scientific study and psychiatric evaluation of each such incarcerated individual, including his or her career and life history, investigation of the cause of the crime and recommendations for the care, training and employment of such incarcerated individuals with a view to their reformation and to the protection of society. Each of the different phases of the work of the clinics shall be so coordinated with all the other phases of clinic work as to be a part of a unified and comprehensive scheme in the study and treatment of such incarcerated individuals. After classification in the clinics the incarcerated individual sentenced to state prison shall be certified to the warden and recommendation made to the commissioner of corrections and community supervision as to their disposition.