Let A € Mnxn (R), & be the standard basis for R", and B = {₁,...,n} be another basis for R". If P is the change of coordinate matrix from B-coordinates to E-coordinates, then prove that [[A₁]BAU₂]B] = P-¹AP.
Let A € Mnxn (R), & be the standard basis for R", and B = {₁,...,n} be another basis for R". If P is the change of coordinate matrix from B-coordinates to E-coordinates, then prove that [[A₁]BAU₂]B] = P-¹AP.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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