(Linear Algebra) 3. A linear system containing three equations in the seven variables x1, x2, x3, x4, x5, x6, and x7 has an augmented matrix of the following form:
3. A linear system containing three equations in the seven variables r1,2, 3, 24,z5, 6 and a7 has an augmented matrix of the following form 0 0.* 0 0 0 0 0 * In the above matrix, the symbol represents a nonzero number entry and the symbol represents a number entry that may be positive negative or 0. Is the system consistent or inconsistent? If it is consis- tent, indicate whether the system has a unique solution or infinitely many solutions, explaining your reasoning. If it has infinitely many solutions, indicate which are the free variable and which are the basic variables.