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1. Hey guys, quick question about solving a matrix question:

Suppose the matrix:

satisfies = I. Find all values of p and q.

so multiplied by = I =

therefore

How do i then find all the solutions?? Thank you! +rep for helpful answers
2. Adding the first two equations gives , and hence using the identity we can simplify this to . Now, because this is the case, we can let and for some that you have yet to discover (and you need to work out what the signs are). But you can use the third equation together with the identity to find possible values of in terms of for each given choice of . [Note that some of these might be equivalent; there are in fact only two cases you need to consider, not 4.]

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Updated: April 4, 2011
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