Let B = {b 1 ,...,b n } be a basis for R n . Produce a
Question:
Let B = {b1,...,bn} be a basis for Rn. Produce a description of an n x n matrix A that implements the coordinate mapping x ↦ [x]B. (See Exercise 25.)
Data from in Exercise 25
Let
Since the coordinate mapping determined by B is a linear transformation from R2 into R2, this mapping must be implemented by some 2 × 2 matrix A. Find it.
Transcribed Image Text:
B = -3 {-1] []} -2 7
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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