Suppose S is an n x n matrix whose columns form an orthogonal, but not orthonormal, basis

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Suppose S is an n x n matrix whose columns form an orthogonal, but not orthonormal, basis of Rn.
(a) Find a formula for S-1 mimicking the formula Q-1 = QT for an orthogonal matrix.
(b) Use your formula to determine the inverse of the wavelet matrix W whose columns form the orthogonal wavelet basis (5.9) of R4.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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