Take-home quiz for lectures 1-3

Problem 2 of the quiz was about using the (conceptual) definitions of vector spaces and linear transformations you must have learned in the first week and explaining your knowledge about them. Therefore, I did not give full credits to solutions that implicitly used the fact that the linear transformation can be presented by a matrix, if you did not explicitly state this fact in your solution.
Kentarô YAMAMOTO (
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