Question
True or false: The map $L[\mathbf{x}]=-\mathbf{x}$ for $\mathbf{x} \in \mathbb{R}^n$ defines (a) an isometry; (b) a rotation.
Step 1
The map given is \( L[\mathbf{x}] = -\mathbf{x} \) for all \( \mathbf{x} \in \mathbb{R}^n \). This map takes a vector \( \mathbf{x} \) and maps it to its negative, \( -\mathbf{x} \). Show more…
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