I'm teaching myself how to find the relative condition numbers and I am struggling with connecting it to something basic like scalar multiplication. For example, the first problem of my text book seems simple enough, $f(x_1,x_2) = X_1 * X_2$ with $i=1,2$
How would I get started with finding the relative condition number?
What does relative mean here?
I assume that I would start with an identity matrix of one column and two rows $(i=1,2)$ but I don't know what to do next. I can see how the growth of this function will be linear and thus well conditioned, correct?