I have this question, and im not sure I know how to solve it.
"Find an upper triangular $U$ (not diagonal) with $U^2 = I$ which gives $U=U^{-1}$".
Anybody who can help me getting the first steps of this question?
2026-04-09 09:23:26.1775726606
Finding upper triangular matrix
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Try to look to a matrix $U=\begin{pmatrix}a & b \\ 0 & c \end{pmatrix}$, compute $U^2$ and see what relationships $a$, $b$ and $c$ have to have in order to make $U^2 = I$, where $I$ is the identity matrix.