((4, 1), (0, 2)} be bases for R, and let be the matrix for T: R R relative to B. (a) Find the transition matrix P from B'to B. P- (b) Use the matrices Pand A to find [v]g and [Tv)]B, where [V]g = [2 -3]7. [V]B = (c) Find P and A'(the matrix for T relative to B). A'= (d) Find [Tv)]lB two ways. [7V)]g A[v]g I 11
((4, 1), (0, 2)} be bases for R, and let be the matrix for T: R R relative to B. (a) Find the transition matrix P from B'to B. P- (b) Use the matrices Pand A to find [v]g and [Tv)]B, where [V]g = [2 -3]7. [V]B = (c) Find P and A'(the matrix for T relative to B). A'= (d) Find [Tv)]lB two ways. [7V)]g A[v]g I 11
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let B-(1,2), (-1,-1)) and B'- (-4, 1), (0, 2)} be bases for R, and let
2 0
-1 1
be the matrix for T: R R relative to B.
(a) Find the transition matrix P from B'to B.
P-
(b) Use the matrices Pand A to find [v]g and [Tv)]B, where
[V]g= [2 -3]"
[v]B =
[Tv)lB
(c) Find P and A'(the matrix for Trelative to B).
A'=
(d) Find [7(v)le two ways.
11
[Tv)]B A[v]B
%23](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8b65224-21df-49da-a8da-84f6a1af571d%2F810023c0-809f-41f2-858b-6d04c6180104%2Fukh8p7n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let B-(1,2), (-1,-1)) and B'- (-4, 1), (0, 2)} be bases for R, and let
2 0
-1 1
be the matrix for T: R R relative to B.
(a) Find the transition matrix P from B'to B.
P-
(b) Use the matrices Pand A to find [v]g and [Tv)]B, where
[V]g= [2 -3]"
[v]B =
[Tv)lB
(c) Find P and A'(the matrix for Trelative to B).
A'=
(d) Find [7(v)le two ways.
11
[Tv)]B A[v]B
%23
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