Show that the standard matrix of t is an orthogonal matrix

Reference no: EM131074366

Let T : Rn → Rn be a linear transformation that preserves lengths; that is , ||T (x)|| = ||x|| for all x in Rn.

a. Show that T also preserves orthogonality; that is

b. Show that the standard matrix of T is an orthogonal matrix.

Reference no: EM131074366

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