SOLVED: Let A be the augmented matrix for a system of 3 linear equations in unknowns. For what value of b does the linear system have a 2-parameter family of solutions? A) b = 3 B) b = - C) b = 0 D) b = 3 E) There is no value of b.

The augmented matrix for a linear system is given in which the asterisk represents an unspecified real number. Determine whether the system is consistent, and if so whether the solution is unique. Answer "inconclusive" if there is not enough information to make a decision. (a) [ 1 * * * 0 1 * * 0 0 1 1] (b) [ 1 0 0 * 1 0 * * 1 *] (c) [ 1 0 0 0 1 0 0 1 1 * *

Augmented Matrix | Definition, Form & Examples