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                                            Bright Soo

Is this "Challenge" meant to be R2 → R2 instead of R2 → R?

https://github.com/QBobWatson/ila/blob/a45ab6beef409ba8d4f8e634b3cd0d1b5cf5cfa1/src/matrix-inv.xml#L766

Fix typo in rank-thm.xml

Non-linear transformation examples in section about invertibility of linear transformations

In **3.5.4 Invertible linear transformations**, several non-linear transformations (e.g. f(x) = x^3) were used to illustrate non-invertible transformations. It seems to me that since they are not linear to begin...

If V is the zero subspace, then it is the span of the empty set

[This line](https://github.com/QBobWatson/ila/blob/master/src/subspaces.xml#L374) reads `... If V is the zero subspace, then it is the span of the empty set...`. Should it read `then it is the span of the zero...