[Linear Algebra] - Homogeneous system

[Tosh5457]

Homework Statement

Prove that if s and t (both are vectors) satisfy a homogeneous system then so do these vectors.
(a) s + t
(b) 3s
(c) ks + mt | k, s are real

Homework Equations

The Attempt at a Solution

I have no idea where to start.

 

[hotvette]

Might help to start with the definition of a homogeneous system. I believe this is an exercise in using matrix distributive properties.

 

[Tosh5457]

Might help to start with the definition of a homogeneous system. I believe this is an exercise in using matrix distributive properties.

Oh it was so simple, just by looking at how a homogeneous system is like. Thanks