Let b = (3,1, 2, l)7. Find the closest point and the distance from b to the

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Let b = (3,1, 2, l)7. Find the closest point and the distance from b to the following subspaces:
(a) The line in the direction (1. 1. 1. I)T,
(b) The plane spanned by (1,1,0,0)T and (0.0, 1, l)T,
(c) The hyperplane spanned by (1,0,0,0)T, (0. 1.0. 0)T, (0, 0, l,0)T,
(d) The hyperplane defined by the equation
x + y + z + w = 0.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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