TRIZ Matrix / 40 principles / TRIZ contradictions table For TRIZ, systems evolve towards ideality by overcoming CONTRADICTIONS. TRIZ matrix gathers 40 Principles (known solutions) able to overcome these contradictions.E.g. you need a static object to be longer without becoming heavier: This is a contradiction. Browse the Matrix or use this interactive Matrix to discover possible ways of solutions: The PRINCIPLES. TRIZ Matrix click to collapse contents For TRIZ, systems evolve towards ideality by overcoming CONTRADICTIONS.E.g. an object must be longer without becoming heavier.