**(a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least one solution for every possible b?**

**A is a 2 x 4 matrix with two pivot positions**

**Answer:**

**(a) does the equation Ax = 0 have a nontrivial solution and (b) does the equation Ax = b have at least one solution for every possible b?**

**A is a 2 x 4 matrix with two pivot positions**

**Answer:**