- Jan 31, 2012
The last two lines have two equalities. Their status is not clear. Please say for each equality if it is something you plan to prove, something you assume, or something you have proved and how (by definition, by laws of algebra, etc.).
The claim that $S$ is a linear transformation requires a proof, and a proof is not simply some collection of formulas. A proof is an argument that starts with assumptions and arrives and the desires conclusion. proofs are best expressed using text in a natural language (English) written in complete grammatical sentences.
LetYes, so far what you wrote is correct, and it follows the example.