Unformatted text preview: E coordinates to A coordinates. We have v E = 1 E A Â· v A (1 E A )1 Â· v E = v A . We also have 1 A E Â· v E = v A . We conclude that 1 A E = (1 E A )1 . Matrices and Change of Basis When we are given a linear function f : R m! R n expressed as a matrix A , it has been understood, until now, that we are working with the standard basis of R n and the standard basis of R m . So an expression such as f : âœ“ x y â—†! âœ“ 12 3 4 â—†âœ“ x y â—† 4...
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This note was uploaded on 11/22/2011 for the course MATH 235 taught by Professor Markman during the Fall '08 term at UMass (Amherst).
 Fall '08
 MARKMAN
 Linear Algebra, Algebra, Equations, Vectors

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