Answer:
The given statement is false.
Explanation:
We are given the following statement:
"If a linear system has the same number of equations and variables, then it must have a unique solution."
The given statement is false because If a linear system has the same number of equations and variables, then it may have unique solution, no solution or infinitely many solution.
There could be three types of solution
- no solution,
- unique solution and
- infinitely many solutions,
depending on the augmented matrix and coefficient matrix of the linear system.