I have a matrix
$$\begin{bmatrix}2&-\frac12\\1&1\end{bmatrix}.$$
How to define matrix is rotation or reflection?
2025-01-13 02:42:06.1736736126
Linear algebra reflection or rotation
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Let have A as orthonormal matrix. If det(A)=1 then A is matrix of rotation, else if det(A)=-1 then A is matrix of reflection. In your case matrix is not orthonormal, so it is not matrix of rotation nor matrix of reflection