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W is a subspace in R^n. T is a linear operator on R^n defined by T(v)= w-z, where v= w+z, w in W, and z in W-perp. &nbsp;(v, w, z are vectors)<br />
Prove T is an orthogonal operator. 
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W is a subspace in R^n. T is a linear operator on R^n defined by T(v)= w-z, where v= w+z, w in W, and z in W-perp.  (v, w, z are vectors)
Prove T is an orthogonal operator. 

Orthogonal Operator Proof

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