Construct a 3x3 matrix A and vectors b and c in R^3 so that Ax=b has a solution but Ax=c
The Attempt at a Solution
So I don't know where to start. I am not sure if the problem is asking me to create a matrix with real numbers or variables. What I do know is that Ax=b has a solution if each row has a pivot , except the last column. So How would I use this to answer the question?