Hi everyone, I've been reading through my textbook for some guidance on this, but I have yet to find anything. The question asks to "describe the set of possible solutions when the following occur (assuming Ax=b). I've written my own knowledge in italics - however, I think they require an answer in terms of "no solution"/"# of unique solutions" or "infinite solutions". (i) detA = 0, b = 0 (no inverse) (ii) detA ≠ 0, b = 0 (inverse possible) (iii) detA = 0, b ≠ 0 (no inverse) (iv) detA ≠ 0, b ≠ 0 (inverse possible) The way I learnt was that if there was 3 solutions, there had to be 3 variables/pieces of information, otherwise it was redundant or inconsistent depending on what you were given. I've yet to learn using determinants and the b-vector. Any insight would be helpful - Thanks.