Definition of change of corrdinates matrix between two bases, arbitrary vector space

math.la.d.vsp.change_of_basis.arb


This is a guided discovery of the formula for Lagrange Interpolation, which lets you find the formula for a polynomial which passes through a given set of points.

Created On
June 8th, 2017
3 years ago
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 Handout
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 English
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We have seen in Section MR that a linear transformation can be represented by a matrix, once we pick bases for the domain and codomain. How does the matrix representation change if we choose different bases? Which bases lead to especially nice representations? From the infinite possibilities, what is the best possible representation? This section will begin to answer these questions. But first we need to define eigenvalues for linear transformations and the change-of-basis matrix.

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GFDL-1.2
Submitted At
September 11th, 2017
 3 years ago
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2
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 Textbook
Language
 English
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text/html