- #1
trojansc82
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Homework Statement
I have quite a few problems that I believe I answered correctly, but here is one of them:
1. Rather than use the standard definitions of addition and scalar multiplication in R3, suppose these two operations are defined as follows:
(x1, y1, z1) + (x2, y2, z2) = (x1+ x2 + 1, y1+ y2 + 1, z1+ z2 + 1);
c(x,y,z) = (cx + c - 1, cy + c - 1, cz + c -1)
Homework Equations
10 axioms of a vector space
The Attempt at a Solution
R3 is not a vector space as it fails axiom 10 (Scalar Identity/ Axiom 10).