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-Decomposition
There really isn’t much to do here other than plug formulas in. We’ll start with the normal system for . Now, A has linearly independent columns we know that it has a QR-Decomposition for A so let’s plug the decomposition into the normal system and ...
Orthogonal Matrices
be orthogonal. Also, note that we did mean to say that the columns are orthonormal. This may seem odd given that we call the matrix “orthogonal” when “orthonormal” would probably be a better name for the matrix, but traditionally this kind of matrix has been called o...