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I forgot about the reference... although regarding second-guessing, I have noticed that they repeat some questions from time to time, and I just found the e^A where A is a matrix question in an old STEP paper. So, it might be useful... although I'm just worried about being thrown into a new environment! What if I get completely stuck and get nowhere at the interview?
But at the moment I'm not supposed to have developed a preference yet -- I'm still in the last year where there is pretty much a set syllabus everyone should be able to use. I am just worried because I was not able to get that solution...
Can you show me how to do this? Is this the same as matrix decomposition?
The time taken is related to your experience and what fields of math you prefer and major in. It only takes someone in computational mathematics 5 seconds to think of that since they use the Taylor's series every day and for darn near every problem.