Science:Math Exam Resources/Courses/MATH221/December 2019/Question 02 (c)/Statement

In each case, either give an example or state that no such example exists (you don’t have to explain why not).

A matrix $A$ and a vector ${\bf {b}}$ such that the homogeneous system $A{\bf {x}}=0$ has a unique solution, but such that $A{\bf {x}}={\bf {b}}$ has infinitely many solutions.