LINEAR ALGEBRA. verifying (k+m)(u)=ku+mu... where k,m are any integers and u is an element of V={(x,y,z) | z=3}. addition defined by (x1,y1,z1)+(x2,y2,z2) = (x1+x2,y1+y2,3) scalar multiplication defined by s(x,y,z)=(sx,sy,3)

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I am learning linear algebra as well, can you tell me what topic this comes from ?

determining is v is a vector space... so we have to verify the ten axioms

so we are finding what order space this is?

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