Inner Product Axioms
I would appreciate your help on the following problem.
A rule being used to define the mathematics of a vector space is
Determine and state which axiom fails.
I tried the four axioms (symmetry, additive, homogeneity, and positive definite), but none seems to fail. Am I missing anything?
Thank you in advance!
it's not positive definite! for example consider
Originally Posted by hasanbalkan
Also notice that the inner product of <1, 0> with itself is <1, 0>.<1, 0>= 1(0)+ 0(1)= 0.