Final answer:
True, a calculator can efficiently solve a system of 12 equations with 12 variables thanks to advancements in technology, which equips certain calculators and software with the necessary computational capabilities.
Step-by-step explanation:
True: A calculator can efficiently solve a system of 12 equations with 12 variables. With modern technology, both handheld graphing calculators and computer software are equipped to handle the computational complexity of linear algebra problems involving multiple equations and variables.
Advanced calculators like TI-83, 83+, 84, 84+ models, are capable of performing matrix operations that can be used to solve such systems. In real-world applications, however, larger systems or those with more complex relationships between variables may require specialized software for efficient computation.
Nevertheless, for a system of 12 equations, it is well within the capability of a graphing calculator or appropriate mathematical software to find a solution efficiently, provided the system has a unique solution.