Problem 5. Let B = {T1, 72} be an ordered basis for R? , and y = for R? {71, 72} be another ordered basis Suppose the coordinate vectors of ai and a2 relative to y are given by and 2]y = 3 Find the coordinate vectors of and 2 relative to B, namely, find [yi]s and [2]a It has Hint. Really think about what do the numbers in the coordinate vector means. something to do with the coefficients of some linear combinations of course. you write everything out, it is an algebra problem. Once

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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Problem 5.
Let B = {ã1, 2} be an ordered basis for R?
for R?
and y= {71, 72} be another ordered basis
Suppose the coordinate vectors of i1 and i2 relative to y are given by
[1]
and [72]y
2
3
Find the coordinate vectors of and y, relative to B , namely, find []s and [2]8
Hint. Really think about what do the numbers in the coordinate vector means.
something to do with the coefficients of some linear combinations of course.
you write everything out, it is an algebra problem.
It has
Once
Transcribed Image Text:Problem 5. Let B = {ã1, 2} be an ordered basis for R? for R? and y= {71, 72} be another ordered basis Suppose the coordinate vectors of i1 and i2 relative to y are given by [1] and [72]y 2 3 Find the coordinate vectors of and y, relative to B , namely, find []s and [2]8 Hint. Really think about what do the numbers in the coordinate vector means. something to do with the coefficients of some linear combinations of course. you write everything out, it is an algebra problem. It has Once
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