"Sketch these three lines and decide if the equations are solvable:

What happens if all right-hand sides are zero? Is there any nonzero choice of right-hand sides that allows the three lines to intersect at the same point?"

I just started learning Linear Algebra and I am having a hard time solving the Problem Set 1.2 of Gilbert Strang's "Linear Algebra and Its Applications".

Please give some advice on solving problem in Linear Algebra. May be a step by step process through which I can attack the problems.

I have some questions: 1. Do we really need to visualize planes in 2d or 3d when solving equations? 2. This Problem Sets contains problems which are not direct and I don't really know if I have solved the problem correctly.

And a general question, Is there any specific ability needed to solve problems? coz I am really having a hard time!!!

Thanks in advance.