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What exactly is math?
What is math in our life?
Hi everybody! I'm currently working through Linear Transformations and Matrices by F. A. Ficken and while I generally understand what's happening in each subsection, I keep getting stuck on the questions because I don't know what they're asking me to do. The biggest issue is that I don't know what it means when a question asks me to "define" something. I feel like I'm missing something major because I understood the section on recursive definitions and was able to "define" sequences based on that understanding but then questions started asking me to define a given equation such as aโ = b and I have no idea what it wants me to do. Another question said to define the symbols that denote '1 choose 0' = 1 and '1 choose 1' = 1, I'm also completely lost there.
I feel like my issue is that I'm not in a math class with a prof who can explain these things to me but I really want to learn on my own. I tried looking for video lectures but I can't figure out what to search to get what I'm looking for.
Thanks so much in advance for any help anyone can provide.
Edit: here's a question I'm stuck on, https://imgur.com/a/2xs6HME