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Unformatted text preview: A x = b . EXAMPLE. Find a leastsquares solution of A x = b when A = 121 2 3 2 5 and b = 3 14 2 . Now ﬁnd the leastsquares error associated with this leastsquares solution. This is the distance from b to A x . FACT. If A has linearly independent columns and A = QR is a QR factorization of A , then A x = b has a unique leastsquares solution given by ˆ x = R1 Q T b . HOMEWORK: SECTION 6.5...
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 Spring '08
 PAVLOVIC
 Approximation, Matrices, ax, Orthogonal matrix, Linear least squares, leastsquares solution

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