**15**

More distances

**15.1 Distance on **(*U, U*)

When dealing with matrices, it is natural to say that that the matrix

is close to the 2 × 2 identity matrix *I*. On the other hand, if we deal with 10^{4} × 10^{4} matrices, we may suspect that the matrix *B* given by *b _{ii}* = 1 and

What do we wish to mean by saying that we want to ‘measure closeness in some useful way’? Surely, we ...

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