Converting a Matrix into an Orthonormal Basis: Solving the Gram-Schmidt Problem

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Homework Statement


So I need to use Gram Schmidt to convert a 3x3 matrix A into an orthonormal basis. This is straightforward enough. But then I need to 'keep track of your steps to produce an upper triangular matrix B so that AB is an orthogonal matrix.' I'm not sure what this second part entails. Is this a QR factorization problem?


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