Problem 5. Let B = {1, 2} be an ordered basis for R2 for R? and y= {71, 72} be another ordered basis Suppose the coordinate vectors of and a2 relative to y are given by and [72)y Find the coordinate vectors of and relative to B , namely, find [1]s and [y2]8 Hint. Really think about what do the numbers in the coordinate vector means. It has something to do with the coefficients of some linear combinations of course. Once you write everything out, it is an algebra problem.
Problem 5. Let B = {1, 2} be an ordered basis for R2 for R? and y= {71, 72} be another ordered basis Suppose the coordinate vectors of and a2 relative to y are given by and [72)y Find the coordinate vectors of and relative to B , namely, find [1]s and [y2]8 Hint. Really think about what do the numbers in the coordinate vector means. It has something to do with the coefficients of some linear combinations of course. Once you write everything out, it is an algebra problem.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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