Question: Suppose f : En En is an isometry given by f(v) = Av for some n n matrix A, n 2. Show that g :

Suppose f : En En is an isometry given by f(v) = Av for some n n matrix A, n 2.

Show that g : En En defined by g(v)=AA^T(v)+A^TA(v) is not an isometry.

Show that h: En En defined by h(v) = A^2(v) is also an isometry.

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