\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that for \(A \in M_{n,p}(\mathbb{K})\), the homogeneous system \(A X = 0_{n,1}\) is always compatible. Identify the trivial solution and explain why \(X = 0\) is always one.
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.