Linear Algebra and Its Applications · Problem 1.3.18
Matrices and Gaussian Elimination — Gilbert Strang
Mathematics · gaussian-elimination
Problem
(Recommended) It is impossible for a system of linear equations to have exactly two solutions. Explain why.
(a) If (x,y,z) and (X,Y,Z) are two solutions, what is another one?
(b) If 25 planes meet at two points, where else do they meet?