In linear algebra my book show the five lemma. In wikipedia I noticed connection with the 9-lemma (=? 3x3 lemma), the snake lemma a.s.o.
In the wikipedia page this lemma are described as being part of ??homological algebra??. Are all this lemmas also valid for linear algebra? (that is, could I take them as exercises?)
Yes, algebra is algebra. It's often generalised to more general settings (modules etc.) but it's certainly valid in vector spaces and so in a linear algebra setting. It's all part of modern algebra, basically.