Stuck on a Ax=B matrix question, need confirmation if my work is correct

Question

So from the matrix question we have, will it be possible to have 2 distinct real roots for $b_1$ and $b_2$? Or am I supposed to leave them as I did (in a relation with each other?)

Also is that what I'm supposed to explain in the second part where they ask about a unique solution?

Answer 1

You found that if $b_1=4b_2$ then there is only one solution which is $x_1=\frac{b_1}{2},x_2=\frac{b_1}{4}$. So you actually showed that if a solution exists it must be unique.