Hey can you please do the whole 4 questions and leave explanations? thanks

You can skip question 1, I know how to do that, basically you get the two Rx and Rz and show that Rx*Rz ~= RzRx

For 2, (i) what is the map asking? can you give me an example?

(ii) what is the map doing, I don't understand. I know how to prove a linear transformation but I don't know what the map is doing.

(iii) same questions as above

3. no idea

4. what is injective and invertible and what is surjective?

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