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I am trying to solve a trick question that my teacher gave to me.

This question is related to linear algebra.

I have no idea on where to start with this question. I need some guidance in getting started. $ x-\sin(x) = \pi/4 $

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    How is this linear algebra?2012-11-29

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You will not get an explicit solution. There is exactly one real root, around $1.76634$, which can be found by numerical root finding. I am sure that is what Alpha uses. The techniques are described in any numerical analysis text, but not linear algebra.