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Find all solutions of the matrix equatio...

Find all solutions of the matrix equation `X^2=1,` where 1 is the 2-rowed unit matrix, and X is a real matrix,i.e. a matrix all of whose elements are real.

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The correct Answer is:
`X=pmlorX={:[(alpha,beta),(gamma,-alpha)]:},"where "a^(2)+betagamma=1`
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