Would you consider this arrogant?

Let's say that I'm a mathematician, and someone who is rather basic at math calls me “arrogant" for telling them that 10 × 10 = 100. The say “10 × 10 = 50”. I then explain to them exactly why 10 × 10 = 100, but they reject it and say “I do not see how you're arriving at 100. My calculations are telling me the answer is 50”. Then I reply “The answer is 100, and that is just that. I'm right and you're wrong”. They then begin to accuse you of being arrogant and will not accept the explanations that you're providing them with because their calculations show the answer to be 50. I'm just giving you an example of a similar situation that I'm in with someone whose calling me “arrogant” for reasons not relating to math, but this example explains it perfectly.

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I like to keep my real life privacy, so yes.
Would you consider this arrogant?
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