(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let T: R^{n}-> R^{n}be a linear transformation, and let B be an orthonormal basis for R^n. Prove that [ the length of T(x) ] = [ the length of x ] if and only if [T]_{B}(the B-matrix for T) is an orthogonal matrix.

2. Relevant equations

None I don't think.

3. The attempt at a solution

I've always had a hard time grasping linear transformation problems, so I don't even really know where to start with this one.

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# Homework Help: Linear algebra - Orthogonal matrix

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