Do you understand how to write a proof and how to find things like reduced row echelon form, eingen-values and their related eigen vectors, and understand the basic concepts behind things like matrices?
Yes, I know how to write the various forms of proofs as well as how to find something like row reduced echelon form and how to find eigen-values/eigen-vectors, and I understand some of the more basic concepts.
Do you understand the basic concepts behind derivatives and what they mean as well as know how to perform basic optimization and related rates problems?
Yes, I understand what a derivative is and how to use the information to get information about the function that we are deriving such as concavity as well as understand the basic concepts behind optimization and related rates problems.
Do you understand the basic concepts behind linear functions, quadratic equations, functions in general, and any other main concepts of algebra 2?
Yes, I can understand what a linear function is and how to use them, how to use the quadratic equation and know when roots are real or not, understand how to use and find various forms of functions, and understand some of the more general concepts of algebra 2.