Chapter 2 - Matrices and Systems of Linear Equations - 2.8 The Invertible Matrix Theorem I - True-False Review - Page 189: c

False

By Theorem 2.8.1, item b) we see the equation $Ax = b$ has a unique solution for every $b$ in $R^n$. While $Ax=b$ does not have a single solution, it is not necessary for the equation to have an infinite number of solutions because it may have none. Hence, the statement is false.