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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Advanced Engineering Mathematics
Authors: ERWIN KREYSZIG
9th Edition
0471488852, 978-0471488859
