Final answer:
The statement that two fundamental questions about a linear system involve existence and uniqueness is true. Linear systems analysis always considers whether a solution exists and if that solution is unique.
Step-by-step explanation:
The question asks whether it is true that two fundamental questions about a linear system involve existence and uniqueness. The answer to this question is A. True. When dealing with linear systems, such as those represented by linear equations or linear models, two primary concerns are:
- Existence: Does a solution to the system exist?
- Uniqueness: If a solution exists, is it the only one, or are there multiple solutions?
For example, in a system of linear equations, there may be exactly one solution (unique), infinitely many solutions (non-unique), or no solution at all (non-existent).