Find the representation B of L with respect to S' and T'.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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6.D

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6. Let L: R - R' be the linear transformation defined by
L.
X1+x2
2.x1
Let S be the natural basis for R and
be another basis for R2, while T is the natural basis for
R'and
T' =
is another basis for R.
(a) Find the representation A of L with respect to S
and T.
(b) Find the transition matrix P from S' to S.
(c) Find the transition matrix Q from T' to T.
(d) Find the representation B of L with respect to S'
and T'.
Transcribed Image Text:6. Let L: R - R' be the linear transformation defined by L. X1+x2 2.x1 Let S be the natural basis for R and be another basis for R2, while T is the natural basis for R'and T' = is another basis for R. (a) Find the representation A of L with respect to S and T. (b) Find the transition matrix P from S' to S. (c) Find the transition matrix Q from T' to T. (d) Find the representation B of L with respect to S' and T'.
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