Calculating dimension and basis of range and kernel

German version here: https://youtu.be/lBdwtUa_BGM

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Here, I explain the typical calculation scheme for getting dimension and basis for the image/range and nullspace/kernel for a given matrix.

I hope that this helps students, pupils and others.

(This explanation fits to lectures for students in their first year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)