The question is as it says. I am a first-year uni undergraduate student for context. I don't really know how to approach this question.
Any hints/suggestions would be greatly appreciated!
2026-04-03 00:00:56.1775174456
If an orthogonal matrix represents a reflection, show that it is symmetric.
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Orthogonal matrix is when $A \cdot A^T = I$. Reflection is when $A \cdot A = I$. Ipso facto $A^T = A$ and so the matrix is symmetric.